57929640449000 has 256 divisors, whose sum is σ = 141406707087360. Its totient is φ = 22188660480000.

The previous prime is 57929640448871. The next prime is 57929640449017. The reversal of 57929640449000 is 94404692975.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1131567404 + ... + 1131618596.

It is an arithmetic number, because the mean of its divisors is an integer number (552369949560).

Almost surely, 2^{57929640449000} is an apocalyptic number.

57929640449000 is a gapful number since it is divisible by the number (50) 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 57929640449000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70703353543680).

57929640449000 is an abundant number, since it is smaller than the sum of its proper divisors (83477066638360).

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

57929640449000 is a wasteful number, since it uses less digits than its factorization.

57929640449000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51629 (or 51615 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 59.

The spelling of 57929640449000 in words is "fifty-seven trillion, nine hundred twenty-nine billion, six hundred forty million, four hundred forty-nine thousand".