57400669872 has 1280 divisors, whose sum is σ = 229674188800. Its totient is φ = 13302558720.

The previous prime is 57400669829. The next prime is 57400669873. The reversal of 57400669872 is 27896600475.

57400669872 is a `hidden beast` number, since 574 + 0 + 0 + 6 + 69 + 8 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (57400669873) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 856726383 + ... + 856726449.

It is an arithmetic number, because the mean of its divisors is an integer number (179432960).

Almost surely, 2^57400669872 is an apocalyptic number.

57400669872 is a gapful number since it is divisible by the number (52) 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 57400669872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114837094400).

57400669872 is an abundant number, since it is smaller than the sum of its proper divisors (172273518928).

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

57400669872 is a wasteful number, since it uses less digits than its factorization.

57400669872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 57400669872 in words is "fifty-seven billion, four hundred million, six hundred sixty-nine thousand, eight hundred seventy-two".