48311293060800 has 3528 divisors, whose sum is σ = 227095684390400. Its totient is φ = 9895625625600.

The previous prime is 48311293060733. The next prime is 48311293060817. The reversal of 48311293060800 is 806039211384.

48311293060800 is a `hidden beast` number, since 4 + 8 + 3 + 1 + 1 + 2 + 9 + 30 + 608 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 78047322891 + ... + 78047323509.

Almost surely, 2^{48311293060800} is an apocalyptic number.

48311293060800 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 48311293060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113547842195200).

48311293060800 is an abundant number, since it is smaller than the sum of its proper divisors (178784391329600).

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

48311293060800 is a wasteful number, since it uses less digits than its factorization.

48311293060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 48311293060800 in words is "forty-eight trillion, three hundred eleven billion, two hundred ninety-three million, sixty thousand, eight hundred".