57187514679680 has 384 divisors, whose sum is σ = 175582580463360. Its totient is φ = 17609915904000.

The previous prime is 57187514679677. The next prime is 57187514679683. The reversal of 57187514679680 is 8697641578175.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57187514679677) and next prime (57187514679683).

It is a junction number, because it is equal to n+sod(n) for n = 57187514679598 and 57187514679607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57187514679683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27633005 + ... + 29630355.

It is an arithmetic number, because the mean of its divisors is an integer number (457246303290).

Almost surely, 2^{57187514679680} 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 57187514679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87791290231680).

57187514679680 is an abundant number, since it is smaller than the sum of its proper divisors (118395065783680).

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

57187514679680 is a wasteful number, since it uses less digits than its factorization.

57187514679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997478 (or 1997459 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 74.

The spelling of 57187514679680 in words is "fifty-seven trillion, one hundred eighty-seven billion, five hundred fourteen million, six hundred seventy-nine thousand, six hundred eighty".