57475401984 has 1296 divisors, whose sum is σ = 235275715584. Its totient is φ = 13586227200.

The previous prime is 57475401979. The next prime is 57475401989. The reversal of 57475401984 is 48910457475.

57475401984 is a `hidden beast` number, since 5 + 7 + 4 + 7 + 540 + 1 + 98 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (57475401979) and next prime (57475401989).

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×57475401984² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 57475401984.

It is not an unprimeable number, because it can be changed into a prime (57475401989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 809512669 + ... + 809512739.

It is an arithmetic number, because the mean of its divisors is an integer number (181539904).

Almost surely, 2^57475401984 is an apocalyptic number.

57475401984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57475401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117637857792).

57475401984 is an abundant number, since it is smaller than the sum of its proper divisors (177800313600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57475401984 is a wasteful number, since it uses less digits than its factorization.

57475401984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 57475401984 in words is "fifty-seven billion, four hundred seventy-five million, four hundred one thousand, nine hundred eighty-four".