725590008000 has 1792 divisors, whose sum is σ = 3168652032000. Its totient is φ = 161201664000.

The previous prime is 725590007993. The next prime is 725590008001. The reversal of 725590008000 is 800095527.

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 (725590008001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5220071931 + ... + 5220072069.

It is an arithmetic number, because the mean of its divisors is an integer number (1768221000).

Almost surely, 2^725590008000 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 725590008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584326016000).

725590008000 is an abundant number, since it is smaller than the sum of its proper divisors (2443062024000).

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

725590008000 is a wasteful number, since it uses less digits than its factorization.

725590008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 725590008000 in words is "seven hundred twenty-five billion, five hundred ninety million, eight thousand".