5370800504832 has 1200 divisors, whose sum is σ = 19526458792500. Its totient is φ = 1464952946688.

The previous prime is 5370800504831. The next prime is 5370800504851. The reversal of 5370800504832 is 2384050080735.

5370800504832 is a `hidden beast` number, since 5 + 37 + 0 + 80 + 0 + 504 + 8 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5244906110976 + 125894393856 = 2290176^2 + 354816^2 .

It is not an unprimeable number, because it can be changed into a prime (5370800504831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 60346073044 + ... + 60346073132.

Almost surely, 2^{5370800504832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5370800504832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9763229396250).

5370800504832 is an abundant number, since it is smaller than the sum of its proper divisors (14155658287668).

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

5370800504832 is an frugal number, since it uses more digits than its factorization.

5370800504832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 5370800504832 in words is "five trillion, three hundred seventy billion, eight hundred million, five hundred four thousand, eight hundred thirty-two".