538760267136 has 1024 divisors, whose sum is σ = 2050544025600. Its totient is φ = 135444234240.

The previous prime is 538760267107. The next prime is 538760267173. The reversal of 538760267136 is 631762067835.

538760267136 is a `hidden beast` number, since 538 + 7 + 6 + 0 + 2 + 6 + 71 + 36 = 666.

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 127 ways as a sum of consecutive naturals, for example, 711704070 + ... + 711704826.

It is an arithmetic number, because the mean of its divisors is an integer number (2002484400).

Almost surely, 2^538760267136 is an apocalyptic number.

538760267136 is a gapful number since it is divisible by the number (56) 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 538760267136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025272012800).

538760267136 is an abundant number, since it is smaller than the sum of its proper divisors (1511783758464).

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

538760267136 is a wasteful number, since it uses less digits than its factorization.

538760267136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 538760267136 in words is "five hundred thirty-eight billion, seven hundred sixty million, two hundred sixty-seven thousand, one hundred thirty-six".