526413076160 has 224 divisors, whose sum is σ = 1324910736000. Its totient is φ = 198924042240.

The previous prime is 526413076157. The next prime is 526413076193. The reversal of 526413076160 is 61670314625.

It is a super-2 number, since 2×526413076160² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112647584 + ... + 112652256.

Almost surely, 2^526413076160 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 526413076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662455368000).

526413076160 is an abundant number, since it is smaller than the sum of its proper divisors (798497659840).

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

526413076160 is a wasteful number, since it uses less digits than its factorization.

526413076160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4979 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 526413076160 in words is "five hundred twenty-six billion, four hundred thirteen million, seventy-six thousand, one hundred sixty".