526294240560 has 480 divisors, whose sum is σ = 2002209850368. Its totient is φ = 127417743360.

The previous prime is 526294240559. The next prime is 526294240567. The reversal of 526294240560 is 65042492625.

526294240560 is a `hidden beast` number, since 5 + 2 + 6 + 2 + 9 + 42 + 40 + 560 = 666.

It is a super-2 number, since 2×526294240560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (526294240567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255110089 + ... + 255112151.

Almost surely, 2^526294240560 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 526294240560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001104925184).

526294240560 is an abundant number, since it is smaller than the sum of its proper divisors (1475915609808).

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

526294240560 is a wasteful number, since it uses less digits than its factorization.

526294240560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 526294240560 in words is "five hundred twenty-six billion, two hundred ninety-four million, two hundred forty thousand, five hundred sixty".