57689918870544 has 375 divisors, whose sum is σ = 173184372701087. Its totient is φ = 18539916766272.

The previous prime is 57689918870527. The next prime is 57689918870561. The reversal of 57689918870544 is 44507881998675.

The square root of 57689918870544 is 7595388.

It is a perfect power (a square), and thus also a powerful number.

57689918870544 is a `hidden beast` number, since 5 + 7 + 68 + 9 + 9 + 1 + 8 + 8 + 7 + 0 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (57689918870527) and next prime (57689918870561).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 861043565199 + ... + 861043565265.

Almost surely, 2^{57689918870544} is an apocalyptic number.

57689918870544 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

57689918870544 is the 7595388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57689918870544

57689918870544 is an abundant number, since it is smaller than the sum of its proper divisors (115494453830543).

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

57689918870544 is an frugal number, since it uses more digits than its factorization.

57689918870544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4877107200, while the sum is 81.

57689918870544 divided by its sum of digits (81) gives a square (712221220624 = 843932²).

The spelling of 57689918870544 in words is "fifty-seven trillion, six hundred eighty-nine billion, nine hundred eighteen million, eight hundred seventy thousand, five hundred forty-four".