526561644672 has 256 divisors, whose sum is σ = 1777499654400. Its totient is φ = 150327705600.

The previous prime is 526561644659. The next prime is 526561644733. The reversal of 526561644672 is 276446165625.

526561644672 is a `hidden beast` number, since 5 + 2 + 6 + 561 + 6 + 4 + 4 + 6 + 72 = 666.

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

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, 33401272 + ... + 33417032.

It is an arithmetic number, because the mean of its divisors is an integer number (6943358025).

Almost surely, 2^526561644672 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 526561644672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888749827200).

526561644672 is an abundant number, since it is smaller than the sum of its proper divisors (1250938009728).

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

526561644672 is a wasteful number, since it uses less digits than its factorization.

526561644672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17172 (or 17154 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 526561644672 in words is "five hundred twenty-six billion, five hundred sixty-one million, six hundred forty-four thousand, six hundred seventy-two".