57015963648 has 624 divisors, whose sum is σ = 205469596800. Its totient is φ = 14863564800.

The previous prime is 57015963637. The next prime is 57015963659. The reversal of 57015963648 is 84636951075.

57015963648 is a `hidden beast` number, since 5 + 7 + 0 + 1 + 596 + 3 + 6 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (57015963637) and next prime (57015963659).

It is a super-2 number, since 2×57015963648² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57015963594 and 57015963603.

It is a congruent number.

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, 142184248 + ... + 142184648.

It is an arithmetic number, because the mean of its divisors is an integer number (329278200).

Almost surely, 2^57015963648 is an apocalyptic number.

57015963648 is a gapful number since it is divisible by the number (58) 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 57015963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102734798400).

57015963648 is an abundant number, since it is smaller than the sum of its proper divisors (148453633152).

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

57015963648 is a wasteful number, since it uses less digits than its factorization.

57015963648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 57015963648 in words is "fifty-seven billion, fifteen million, nine hundred sixty-three thousand, six hundred forty-eight".