57077727823872 has 576 divisors, whose sum is σ = 195411460608000. Its totient is φ = 15704074616832.

The previous prime is 57077727823813. The next prime is 57077727824023. The reversal of 57077727823872 is 27832872777075.

57077727823872 is a `hidden beast` number, since 57 + 0 + 7 + 7 + 7 + 278 + 238 + 72 = 666.

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

It is a super-3 number, since 3×57077727823872³ (a number of 42 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57077727823872.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1433049654 + ... + 1433089482.

It is an arithmetic number, because the mean of its divisors is an integer number (339256008000).

Almost surely, 2^{57077727823872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57077727823872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97705730304000).

57077727823872 is an abundant number, since it is smaller than the sum of its proper divisors (138333732784128).

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

57077727823872 is a wasteful number, since it uses less digits than its factorization.

57077727823872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40276 (or 40253 counting only the distinct ones).

The product of its (nonzero) digits is 903544320, while the sum is 72.

The spelling of 57077727823872 in words is "fifty-seven trillion, seventy-seven billion, seven hundred twenty-seven million, eight hundred twenty-three thousand, eight hundred seventy-two".