57460100096 has 528 divisors, whose sum is σ = 152425711872. Its totient is φ = 21469593600.

The previous prime is 57460100077. The next prime is 57460100119. The reversal of 57460100096 is 69000106475.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084152806 + ... + 1084152858.

Almost surely, 2^57460100096 is an apocalyptic number.

57460100096 is a gapful number since it is divisible by the number (56) 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 57460100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76212855936).

57460100096 is an abundant number, since it is smaller than the sum of its proper divisors (94965611776).

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

57460100096 is a wasteful number, since it uses less digits than its factorization.

57460100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 57460100096 in words is "fifty-seven billion, four hundred sixty million, one hundred thousand, ninety-six".