5331456093600 has 2160 divisors, whose sum is σ = 24826641102648. Its totient is φ = 1103201648640.

The previous prime is 5331456093581. The next prime is 5331456093637. The reversal of 5331456093600 is 63906541335.

5331456093600 is a `hidden beast` number, since 5 + 3 + 3 + 1 + 4 + 5 + 609 + 36 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 970358964624 + 4361097128976 = 985068^2 + 2088324^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 359 ways as a sum of consecutive naturals, for example, 2187711582 + ... + 2187714018.

Almost surely, 2^{5331456093600} is an apocalyptic number.

5331456093600 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 5331456093600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12413320551324).

5331456093600 is an abundant number, since it is smaller than the sum of its proper divisors (19495185009048).

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

5331456093600 is a wasteful number, since it uses less digits than its factorization.

5331456093600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2549 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 5331456093600 in words is "five trillion, three hundred thirty-one billion, four hundred fifty-six million, ninety-three thousand, six hundred".