57162085142400 has 864 divisors, whose sum is σ = 240868540458000. Its totient is φ = 12644105011200.

The previous prime is 57162085142363. The next prime is 57162085142417. The reversal of 57162085142400 is 424158026175.

57162085142400 is a `hidden beast` number, since 5 + 7 + 1 + 6 + 20 + 85 + 142 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 193590076 + ... + 193885124.

Almost surely, 2^{57162085142400} is an apocalyptic number.

57162085142400 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 57162085142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120434270229000).

57162085142400 is an abundant number, since it is smaller than the sum of its proper divisors (183706455315600).

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

57162085142400 is a wasteful number, since it uses less digits than its factorization.

57162085142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295148 (or 295097 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 57162085142400 in words is "fifty-seven trillion, one hundred sixty-two billion, eighty-five million, one hundred forty-two thousand, four hundred".