538442136960 has 3072 divisors, whose sum is σ = 2531741184000. Its totient is φ = 95721357312.

The previous prime is 538442136937. The next prime is 538442136997. The reversal of 538442136960 is 69631244835.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 11456215657 + ... + 11456215703.

It is an arithmetic number, because the mean of its divisors is an integer number (824134500).

Almost surely, 2^538442136960 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 538442136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265870592000).

538442136960 is an abundant number, since it is smaller than the sum of its proper divisors (1993299047040).

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

538442136960 is a wasteful number, since it uses less digits than its factorization.

538442136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 538442136960 in words is "five hundred thirty-eight billion, four hundred forty-two million, one hundred thirty-six thousand, nine hundred sixty".