57085678387200 has 1632 divisors, whose sum is σ = 215761824109440. Its totient is φ = 13227157094400.

The previous prime is 57085678387163. The next prime is 57085678387291. The reversal of 57085678387200 is 278387658075.

It is a tau number, because it is divible by the number of its divisors (1632).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65091993162 + ... + 65091994038.

Almost surely, 2^{57085678387200} is an apocalyptic number.

57085678387200 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 57085678387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107880912054720).

57085678387200 is an abundant number, since it is smaller than the sum of its proper divisors (158676145722240).

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

57085678387200 is a wasteful number, since it uses less digits than its factorization.

57085678387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 66.

The spelling of 57085678387200 in words is "fifty-seven trillion, eighty-five billion, six hundred seventy-eight million, three hundred eighty-seven thousand, two hundred".