48993157171200 has 1152 divisors, whose sum is σ = 185368785638400. Its totient is φ = 11305254912000.

The previous prime is 48993157171157. The next prime is 48993157171213. The reversal of 48993157171200 is 217175139984.

It is a super-2 number, since 2×48993157171200² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3478879359 + ... + 3478893441.

It is an arithmetic number, because the mean of its divisors is an integer number (160910404200).

Almost surely, 2^{48993157171200} is an apocalyptic number.

48993157171200 is a gapful number since it is divisible by the number (40) 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 48993157171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92684392819200).

48993157171200 is an abundant number, since it is smaller than the sum of its proper divisors (136375628467200).

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

48993157171200 is a wasteful number, since it uses less digits than its factorization.

48993157171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14229 (or 14204 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 57.

The spelling of 48993157171200 in words is "forty-eight trillion, nine hundred ninety-three billion, one hundred fifty-seven million, one hundred seventy-one thousand, two hundred".