725161574400 has 576 divisors, whose sum is σ = 2549671680360. Its totient is φ = 181823078400.

The previous prime is 725161574387. The next prime is 725161574411. The reversal of 725161574400 is 4475161527.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 710245890 + ... + 710246910.

Almost surely, 2^725161574400 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 725161574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274835840180).

725161574400 is an abundant number, since it is smaller than the sum of its proper divisors (1824510105960).

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

725161574400 is a wasteful number, since it uses less digits than its factorization.

725161574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 725161574400 in words is "seven hundred twenty-five billion, one hundred sixty-one million, five hundred seventy-four thousand, four hundred".