48487277868800 has 108 divisors (see below), whose sum is σ = 120020110174440. Its totient is φ = 19393857269760.

The previous prime is 48487277868773. The next prime is 48487277868863. The reversal of 48487277868800 is 886877278484.

It is a super-2 number, since 2×48487277868800² (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 11 ways as a sum of consecutive naturals, for example, 123381419 + ... + 123773781.

It is an arithmetic number, because the mean of its divisors is an integer number (1111297316430).

Almost surely, 2^{48487277868800} is an apocalyptic number.

48487277868800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48487277868800 is an abundant number, since it is smaller than the sum of its proper divisors (71532832305640).

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

48487277868800 is a wasteful number, since it uses less digits than its factorization.

48487277868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411698 (or 411679 counting only the distinct ones).

The product of its (nonzero) digits is 2157969408, while the sum is 77.

The spelling of 48487277868800 in words is "forty-eight trillion, four hundred eighty-seven billion, two hundred seventy-seven million, eight hundred sixty-eight thousand, eight hundred".