725522110560 has 1152 divisors, whose sum is σ = 2920138905600. Its totient is φ = 167692861440.

The previous prime is 725522110447. The next prime is 725522110561. The reversal of 725522110560 is 65011225527.

725522110560 is a `hidden beast` number, since 7 + 25 + 52 + 21 + 1 + 0 + 560 = 666.

It is a super-2 number, since 2×725522110560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725522110561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2677203225 + ... + 2677203495.

It is an arithmetic number, because the mean of its divisors is an integer number (2534842800).

Almost surely, 2^725522110560 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 725522110560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460069452800).

725522110560 is an abundant number, since it is smaller than the sum of its proper divisors (2194616795040).

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

725522110560 is a wasteful number, since it uses less digits than its factorization.

725522110560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 725522110560 in words is "seven hundred twenty-five billion, five hundred twenty-two million, one hundred ten thousand, five hundred sixty".