725884425216 has 264 divisors, whose sum is σ = 2150216274024. Its totient is φ = 235717263360.

The previous prime is 725884425187. The next prime is 725884425337. The reversal of 725884425216 is 612524488527.

725884425216 is a `hidden beast` number, since 7 + 2 + 588 + 4 + 4 + 2 + 52 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 144000000 + 725740425216 = 12000^2 + 851904^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467407096 + ... + 467408648.

Almost surely, 2^725884425216 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 725884425216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075108137012).

725884425216 is an abundant number, since it is smaller than the sum of its proper divisors (1424331848808).

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

725884425216 is a wasteful number, since it uses less digits than its factorization.

725884425216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2836 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The spelling of 725884425216 in words is "seven hundred twenty-five billion, eight hundred eighty-four million, four hundred twenty-five thousand, two hundred sixteen".