538440975072 has 2304 divisors, whose sum is σ = 2347514265600. Its totient is φ = 117573120000.

The previous prime is 538440975049. The next prime is 538440975089. The reversal of 538440975072 is 270579044835.

538440975072 = 148³ + 149³ + ... + 1211³.

It is a happy number.

538440975072 is a `hidden beast` number, since 5 + 3 + 8 + 4 + 40 + 97 + 507 + 2 = 666.

It is a super-2 number, since 2×538440975072² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3565834197 + ... + 3565834347.

It is an arithmetic number, because the mean of its divisors is an integer number (1018886400).

Almost surely, 2^538440975072 is an apocalyptic number.

538440975072 is a gapful number since it is divisible by the number (52) 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 538440975072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173757132800).

538440975072 is an abundant number, since it is smaller than the sum of its proper divisors (1809073290528).

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

538440975072 is a wasteful number, since it uses less digits than its factorization.

538440975072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 538440975072 in words is "five hundred thirty-eight billion, four hundred forty million, nine hundred seventy-five thousand, seventy-two".