57686508000 has 1728 divisors, whose sum is σ = 256928293440. Its totient is φ = 12165120000.

The previous prime is 57686507969. The next prime is 57686508031. The reversal of 57686508000 is 80568675.

It is an interprime number because it is at equal distance from previous prime (57686507969) and next prime (57686508031).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1406987980 + ... + 1406988020.

It is an arithmetic number, because the mean of its divisors is an integer number (148685355).

Almost surely, 2^57686508000 is an apocalyptic number.

57686508000 is a gapful number since it is divisible by the number (50) 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 57686508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128464146720).

57686508000 is an abundant number, since it is smaller than the sum of its proper divisors (199241785440).

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

57686508000 is a wasteful number, since it uses less digits than its factorization.

57686508000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 57686508000 in words is "fifty-seven billion, six hundred eighty-six million, five hundred eight thousand".