57661482528 has 192 divisors, whose sum is σ = 181641761280. Its totient is φ = 17690517504.

The previous prime is 57661482523. The next prime is 57661482577. The reversal of 57661482528 is 82528416675.

57661482528 is a `hidden beast` number, since 5 + 76 + 6 + 1 + 48 + 2 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (57661482523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3957625 + ... + 3972167.

It is an arithmetic number, because the mean of its divisors is an integer number (946050840).

Almost surely, 2^57661482528 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 57661482528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90820880640).

57661482528 is an abundant number, since it is smaller than the sum of its proper divisors (123980278752).

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

57661482528 is a wasteful number, since it uses less digits than its factorization.

57661482528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14928 (or 14914 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 57661482528 in words is "fifty-seven billion, six hundred sixty-one million, four hundred eighty-two thousand, five hundred twenty-eight".