538131746880 has 2688 divisors, whose sum is σ = 2634525388800. Its totient is φ = 100615716864.

The previous prime is 538131746851. The next prime is 538131746951. The reversal of 538131746880 is 88647131835.

It is a happy number.

538131746880 is a `hidden beast` number, since 538 + 1 + 31 + 74 + 6 + 8 + 8 + 0 = 666.

538131746880 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3301421679 + ... + 3301421841.

Almost surely, 2^538131746880 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 538131746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317262694400).

538131746880 is an abundant number, since it is smaller than the sum of its proper divisors (2096393641920).

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

538131746880 is a wasteful number, since it uses less digits than its factorization.

538131746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 538131746880 in words is "five hundred thirty-eight billion, one hundred thirty-one million, seven hundred forty-six thousand, eight hundred eighty".