57696038400 has 1920 divisors, whose sum is σ = 272782540800. Its totient is φ = 10351411200.

The previous prime is 57696038371. The next prime is 57696038417. The reversal of 57696038400 is 483069675.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 57696038400.

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 191 ways as a sum of consecutive naturals, for example, 730329561 + ... + 730329639.

It is an arithmetic number, because the mean of its divisors is an integer number (142074240).

Almost surely, 2^57696038400 is an apocalyptic number.

57696038400 is a gapful number since it is divisible by the number (50) 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 57696038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136391270400).

57696038400 is an abundant number, since it is smaller than the sum of its proper divisors (215086502400).

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

57696038400 is a wasteful number, since it uses less digits than its factorization.

57696038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 57696038400 in words is "fifty-seven billion, six hundred ninety-six million, thirty-eight thousand, four hundred".