5311832256000 has 1120 divisors, whose sum is σ = 19981269161568. Its totient is φ = 1407791923200.

The previous prime is 5311832255999. The next prime is 5311832256047. The reversal of 5311832256000 is 6522381135.

5311832256000 is a `hidden beast` number, since 5 + 3 + 1 + 18 + 32 + 2 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11990591779 + ... + 11990592221.

Almost surely, 2^{5311832256000} is an apocalyptic number.

5311832256000 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 5311832256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9990634580784).

5311832256000 is an abundant number, since it is smaller than the sum of its proper divisors (14669436905568).

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

5311832256000 is an frugal number, since it uses more digits than its factorization.

5311832256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 5311832256000 in words is "five trillion, three hundred eleven billion, eight hundred thirty-two million, two hundred fifty-six thousand".