57616001336400 has 960 divisors, whose sum is σ = 213253950873600. Its totient is φ = 13170851020800.

The previous prime is 57616001336263. The next prime is 57616001336539. The reversal of 57616001336400 is 463310061675.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30794227465 + ... + 30794229335.

It is an arithmetic number, because the mean of its divisors is an integer number (222139532160).

Almost surely, 2^{57616001336400} is an apocalyptic number.

57616001336400 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 57616001336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106626975436800).

57616001336400 is an abundant number, since it is smaller than the sum of its proper divisors (155637949537200).

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

57616001336400 is a wasteful number, since it uses less digits than its factorization.

57616001336400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 57616001336400 in words is "fifty-seven trillion, six hundred sixteen billion, one million, three hundred thirty-six thousand, four hundred".