5623053004800 has 2496 divisors, whose sum is σ = 26236824069120. Its totient is φ = 1146617856000.

The previous prime is 5623053004763. The next prime is 5623053004841. The reversal of 5623053004800 is 84003503265.

It is a happy number.

5623053004800 is a `hidden beast` number, since 5 + 6 + 2 + 305 + 300 + 48 + 0 + 0 = 666.

It is a super-3 number, since 3×5623053004800³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12986265384 + ... + 12986265816.

Almost surely, 2^{5623053004800} is an apocalyptic number.

5623053004800 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 5623053004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13118412034560).

5623053004800 is an abundant number, since it is smaller than the sum of its proper divisors (20613771064320).

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

5623053004800 is a wasteful number, since it uses less digits than its factorization.

5623053004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 5623053004800 in words is "five trillion, six hundred twenty-three billion, fifty-three million, four thousand, eight hundred".