725350857400 has 192 divisors, whose sum is σ = 1923426892800. Its totient is φ = 252352488960.

The previous prime is 725350857391. The next prime is 725350857401. The reversal of 725350857400 is 4758053527.

725350857400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×725350857400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725350857401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3916081 + ... + 4097119.

It is an arithmetic number, because the mean of its divisors is an integer number (10017848400).

Almost surely, 2^725350857400 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 725350857400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961713446400).

725350857400 is an abundant number, since it is smaller than the sum of its proper divisors (1198076035400).

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

725350857400 is a wasteful number, since it uses less digits than its factorization.

725350857400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181158 (or 181149 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 46.

The spelling of 725350857400 in words is "seven hundred twenty-five billion, three hundred fifty million, eight hundred fifty-seven thousand, four hundred".