57490950988800 has 3168 divisors, whose sum is σ = 257444947468800. Its totient is φ = 11958799564800.

The previous prime is 57490950988769. The next prime is 57490950988831. The reversal of 57490950988800 is 888905909475.

57490950988800 is a `hidden beast` number, since 5 + 7 + 490 + 9 + 50 + 9 + 8 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57490950988769) and next prime (57490950988831).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 223700198272 + ... + 223700198528.

Almost surely, 2^{57490950988800} is an apocalyptic number.

57490950988800 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 57490950988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128722473734400).

57490950988800 is an abundant number, since it is smaller than the sum of its proper divisors (199953996480000).

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

57490950988800 is a wasteful number, since it uses less digits than its factorization.

57490950988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 72.

The spelling of 57490950988800 in words is "fifty-seven trillion, four hundred ninety billion, nine hundred fifty million, nine hundred eighty-eight thousand, eight hundred".