57385376640 has 320 divisors, whose sum is σ = 207418170960. Its totient is φ = 15117262848.

The previous prime is 57385376627. The next prime is 57385376651. The reversal of 57385376640 is 4667358375.

57385376640 is a `hidden beast` number, since 5 + 7 + 3 + 8 + 537 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×57385376640² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4296052 + ... + 4309388.

Almost surely, 2^57385376640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57385376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103709085480).

57385376640 is an abundant number, since it is smaller than the sum of its proper divisors (150032794320).

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

57385376640 is a wasteful number, since it uses less digits than its factorization.

57385376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13451 (or 13430 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 57385376640 in words is "fifty-seven billion, three hundred eighty-five million, three hundred seventy-six thousand, six hundred forty".