57487226832000 has 1536 divisors, whose sum is σ = 244737456537600. Its totient is φ = 12654351360000.

The previous prime is 57487226831929. The next prime is 57487226832023. The reversal of 57487226832000 is 23862278475.

57487226832000 is a `hidden beast` number, since 57 + 4 + 8 + 7 + 2 + 268 + 320 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6593323641 + ... + 6593332359.

It is an arithmetic number, because the mean of its divisors is an integer number (159334281600).

Almost surely, 2^{57487226832000} is an apocalyptic number.

57487226832000 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 57487226832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122368728268800).

57487226832000 is an abundant number, since it is smaller than the sum of its proper divisors (187250229705600).

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

57487226832000 is a wasteful number, since it uses less digits than its factorization.

57487226832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9003 (or 8978 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 57487226832000 in words is "fifty-seven trillion, four hundred eighty-seven billion, two hundred twenty-six million, eight hundred thirty-two thousand".