57874095046656 has 576 divisors, whose sum is σ = 201690013739760. Its totient is φ = 16535344250880.

The previous prime is 57874095046627. The next prime is 57874095046717. The reversal of 57874095046656 is 65664059047875.

57874095046656 is a `hidden beast` number, since 5 + 7 + 8 + 7 + 4 + 0 + 9 + 504 + 66 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 390094411 + ... + 390242741.

Almost surely, 2^{57874095046656} is an apocalyptic number.

57874095046656 is a gapful number since it is divisible by the number (56) 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 57874095046656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100845006869880).

57874095046656 is an abundant number, since it is smaller than the sum of its proper divisors (143815918693104).

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

57874095046656 is an frugal number, since it uses more digits than its factorization.

57874095046656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148390 (or 148343 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 72.

The spelling of 57874095046656 in words is "fifty-seven trillion, eight hundred seventy-four billion, ninety-five million, forty-six thousand, six hundred fifty-six".