725800198032 has 600 divisors, whose sum is σ = 2752673210496. Its totient is φ = 180153372672.

The previous prime is 725800198007. The next prime is 725800198043. The reversal of 725800198032 is 230891008527.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26049933 + ... + 26077779.

Almost surely, 2^725800198032 is an apocalyptic number.

725800198032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725800198032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376336605248).

725800198032 is an abundant number, since it is smaller than the sum of its proper divisors (2026873012464).

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

725800198032 is a wasteful number, since it uses less digits than its factorization.

725800198032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27917 (or 27889 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 725800198032 in words is "seven hundred twenty-five billion, eight hundred million, one hundred ninety-eight thousand, thirty-two".