57342782952 has 960 divisors, whose sum is σ = 217674547200. Its totient is φ = 13756055040.

The previous prime is 57342782897. The next prime is 57342783023. The reversal of 57342782952 is 25928724375.

57342782952 is a `hidden beast` number, since 5 + 7 + 342 + 7 + 8 + 295 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 451517913 + ... + 451518039.

It is an arithmetic number, because the mean of its divisors is an integer number (226744320).

Almost surely, 2^57342782952 is an apocalyptic number.

57342782952 is a gapful number since it is divisible by the number (52) 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 57342782952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108837273600).

57342782952 is an abundant number, since it is smaller than the sum of its proper divisors (160331764248).

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

57342782952 is a wasteful number, since it uses less digits than its factorization.

57342782952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 202 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 57342782952 in words is "fifty-seven billion, three hundred forty-two million, seven hundred eighty-two thousand, nine hundred fifty-two".