57452982048 has 768 divisors, whose sum is σ = 219063398400. Its totient is φ = 14213283840.

The previous prime is 57452982029. The next prime is 57452982053. The reversal of 57452982048 is 84028925475.

57452982048 is a `hidden beast` number, since 5 + 74 + 529 + 8 + 2 + 0 + 48 = 666.

57452982048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 57452981985 and 57452982003.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 187143111 + ... + 187143417.

It is an arithmetic number, because the mean of its divisors is an integer number (285238800).

Almost surely, 2^57452982048 is an apocalyptic number.

57452982048 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 57452982048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109531699200).

57452982048 is an abundant number, since it is smaller than the sum of its proper divisors (161610416352).

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

57452982048 is a wasteful number, since it uses less digits than its factorization.

57452982048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 456 counting only the distinct ones).

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

The spelling of 57452982048 in words is "fifty-seven billion, four hundred fifty-two million, nine hundred eighty-two thousand, forty-eight".