526072858080 has 1536 divisors, whose sum is σ = 2325126021120. Its totient is φ = 96585646080.

The previous prime is 526072858043. The next prime is 526072858093. The reversal of 526072858080 is 80858270625.

526072858080 is digitally balanced in base 4, 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 (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 852629932 + ... + 852630548.

It is an arithmetic number, because the mean of its divisors is an integer number (1513753920).

Almost surely, 2^526072858080 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 526072858080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162563010560).

526072858080 is an abundant number, since it is smaller than the sum of its proper divisors (1799053163040).

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

526072858080 is a wasteful number, since it uses less digits than its factorization.

526072858080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 526072858080 in words is "five hundred twenty-six billion, seventy-two million, eight hundred fifty-eight thousand, eighty".