538756251264 has 1920 divisors, whose sum is σ = 2215499584320. Its totient is φ = 128012451840.

The previous prime is 538756251233. The next prime is 538756251269. The reversal of 538756251264 is 462152657835.

538756251264 is a `hidden beast` number, since 5 + 3 + 8 + 7 + 5 + 62 + 512 + 64 = 666.

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

Its product of digits (12096000) is a multiple of the sum of its prime divisors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 538756251264.

It is not an unprimeable number, because it can be changed into a prime (538756251269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5035105099 + ... + 5035105205.

Almost surely, 2^538756251264 is an apocalyptic number.

538756251264 is a gapful number since it is divisible by the number (54) 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 538756251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107749792160).

538756251264 is an abundant number, since it is smaller than the sum of its proper divisors (1676743333056).

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

538756251264 is a wasteful number, since it uses less digits than its factorization.

538756251264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 200 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 538756251264 in words is "five hundred thirty-eight billion, seven hundred fifty-six million, two hundred fifty-one thousand, two hundred sixty-four".