57752672460 has 192 divisors, whose sum is σ = 194698183680. Its totient is φ = 12495375360.

The previous prime is 57752672449. The next prime is 57752672489. The reversal of 57752672460 is 6427625775.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13061050 + ... + 13065470.

It is an arithmetic number, because the mean of its divisors is an integer number (1014053040).

Almost surely, 2^57752672460 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 57752672460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97349091840).

57752672460 is an abundant number, since it is smaller than the sum of its proper divisors (136945511220).

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

57752672460 is a wasteful number, since it uses less digits than its factorization.

57752672460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096 (or 6094 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 51.

The spelling of 57752672460 in words is "fifty-seven billion, seven hundred fifty-two million, six hundred seventy-two thousand, four hundred sixty".