48800692961280 has 1920 divisors, whose sum is σ = 193906314201600. Its totient is φ = 11700598210560.

The previous prime is 48800692961269. The next prime is 48800692961297. The reversal of 48800692961280 is 8216929600884.

48800692961280 is a `hidden beast` number, since 4 + 8 + 8 + 0 + 0 + 6 + 9 + 2 + 9 + 612 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×48800692961280² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 587960156119 + ... + 587960156201.

It is an arithmetic number, because the mean of its divisors is an integer number (100992871980).

Almost surely, 2^{48800692961280} is an apocalyptic number.

48800692961280 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 48800692961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96953157100800).

48800692961280 is an abundant number, since it is smaller than the sum of its proper divisors (145105621240320).

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

48800692961280 is an frugal number, since it uses more digits than its factorization.

48800692961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 48800692961280 in words is "forty-eight trillion, eight hundred billion, six hundred ninety-two million, nine hundred sixty-one thousand, two hundred eighty".