57013608537600 has 1440 divisors, whose sum is σ = 227230438178304. Its totient is φ = 12486102220800.

The previous prime is 57013608537583. The next prime is 57013608537643. The reversal of 57013608537600 is 673580631075.

It is a super-2 number, since 2×57013608537600² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3355114704 + ... + 3355131696.

Almost surely, 2^{57013608537600} is an apocalyptic number.

57013608537600 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 57013608537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113615219089152).

57013608537600 is an abundant number, since it is smaller than the sum of its proper divisors (170216829640704).

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

57013608537600 is a wasteful number, since it uses less digits than its factorization.

57013608537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17108 (or 17074 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 57013608537600 in words is "fifty-seven trillion, thirteen billion, six hundred eight million, five hundred thirty-seven thousand, six hundred".