525845844160 has 672 divisors, whose sum is σ = 1700034557760. Its totient is φ = 152946081792.

The previous prime is 525845844157. The next prime is 525845844187. The reversal of 525845844160 is 61448548525.

It is a super-2 number, since 2×525845844160² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 525845844098 and 525845844107.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149005276 + ... + 149008804.

It is an arithmetic number, because the mean of its divisors is an integer number (2529813330).

Almost surely, 2^525845844160 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 525845844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850017278880).

525845844160 is an abundant number, since it is smaller than the sum of its proper divisors (1174188713600).

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

525845844160 is a wasteful number, since it uses less digits than its factorization.

525845844160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 52.

The spelling of 525845844160 in words is "five hundred twenty-five billion, eight hundred forty-five million, eight hundred forty-four thousand, one hundred sixty".