533750792400 has 360 divisors, whose sum is σ = 2152757780160. Its totient is φ = 119932047360.

The previous prime is 533750792383. The next prime is 533750792413. The reversal of 533750792400 is 4297057335.

533750792400 is a `hidden beast` number, since 5 + 337 + 5 + 0 + 79 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-4 number, since 4×533750792400⁴ (a number of 48 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1307304 + ... + 1666296.

Almost surely, 2^533750792400 is an apocalyptic number.

533750792400 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 533750792400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076378890080).

533750792400 is an abundant number, since it is smaller than the sum of its proper divisors (1619006987760).

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

533750792400 is a wasteful number, since it uses less digits than its factorization.

533750792400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359083 (or 359069 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 533750792400 in words is "five hundred thirty-three billion, seven hundred fifty million, seven hundred ninety-two thousand, four hundred".