506272734924880 has 480 divisors, whose sum is σ = 1496520869034240. Its totient is φ = 157505758986240.

The previous prime is 506272734924839. The next prime is 506272734924911. The reversal of 506272734924880 is 88429437272605.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56699820256 + ... + 56699829184.

It is an arithmetic number, because the mean of its divisors is an integer number (3117751810488).

Almost surely, 2^{506272734924880} 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 506272734924880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748260434517120).

506272734924880 is an abundant number, since it is smaller than the sum of its proper divisors (990248134109360).

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

506272734924880 is a wasteful number, since it uses less digits than its factorization.

506272734924880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11267 (or 11254 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 67.

The spelling of 506272734924880 in words is "five hundred six trillion, two hundred seventy-two billion, seven hundred thirty-four million, nine hundred twenty-four thousand, eight hundred eighty".