725836723200000 has 4704 divisors, whose sum is σ = 3021548564764800. Its totient is φ = 173425950720000.

The previous prime is 725836723199999. The next prime is 725836723200011. The reversal of 725836723200000 is 2327638527.

725836723200000 is a `hidden beast` number, since 7 + 2 + 58 + 367 + 232 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 8155468799956 + ... + 8155468800044.

Almost surely, 2^{725836723200000} 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 725836723200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510774282382400).

725836723200000 is an abundant number, since it is smaller than the sum of its proper divisors (2295711841564800).

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

725836723200000 is an frugal number, since it uses more digits than its factorization.

725836723200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 725836723200000 in words is "seven hundred twenty-five trillion, eight hundred thirty-six billion, seven hundred twenty-three million, two hundred thousand".