525438381788460 has 384 divisors, whose sum is σ = 1881671758848000. Its totient is φ = 119236568555520.

The previous prime is 525438381788459. The next prime is 525438381788471. The reversal of 525438381788460 is 64887183834525.

It is a happy number.

525438381788460 is a `hidden beast` number, since 5 + 2 + 5 + 4 + 3 + 8 + 3 + 81 + 7 + 88 + 460 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1171836669 + ... + 1172284971.

It is an arithmetic number, because the mean of its divisors is an integer number (4900186872000).

Almost surely, 2^{525438381788460} 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 525438381788460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940835879424000).

525438381788460 is an abundant number, since it is smaller than the sum of its proper divisors (1356233377059540).

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

525438381788460 is a wasteful number, since it uses less digits than its factorization.

525438381788460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450558 (or 450550 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 525438381788460 in words is "five hundred twenty-five trillion, four hundred thirty-eight billion, three hundred eighty-one million, seven hundred eighty-eight thousand, four hundred sixty".