538527188160 has 1344 divisors, whose sum is σ = 2154417108480. Its totient is φ = 122500546560.

The previous prime is 538527188077. The next prime is 538527188263. The reversal of 538527188160 is 61881725835.

538527188160 is a `hidden beast` number, since 5 + 38 + 527 + 1 + 8 + 81 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 538527188097 and 538527188106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3112873834 + ... + 3112874006.

It is an arithmetic number, because the mean of its divisors is an integer number (1602988920).

Almost surely, 2^538527188160 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 538527188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077208554240).

538527188160 is an abundant number, since it is smaller than the sum of its proper divisors (1615889920320).

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

538527188160 is a wasteful number, since it uses less digits than its factorization.

538527188160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 538527188160 in words is "five hundred thirty-eight billion, five hundred twenty-seven million, one hundred eighty-eight thousand, one hundred sixty".