725573819318400 has 6144 divisors, whose sum is σ = 3183522241536000. Its totient is φ = 159838529126400.

The previous prime is 725573819318399. The next prime is 725573819318417. The reversal of 725573819318400 is 4813918375527.

It is a happy number.

725573819318400 is a `hidden beast` number, since 7 + 2 + 5 + 5 + 7 + 38 + 193 + 1 + 8 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 7044406012749 + ... + 7044406012851.

It is an arithmetic number, because the mean of its divisors is an integer number (518151406500).

Almost surely, 2^{725573819318400} 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 725573819318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591761120768000).

725573819318400 is an abundant number, since it is smaller than the sum of its proper divisors (2457948422217600).

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

725573819318400 is a wasteful number, since it uses less digits than its factorization.

725573819318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 725573819318400 in words is "seven hundred twenty-five trillion, five hundred seventy-three billion, eight hundred nineteen million, three hundred eighteen thousand, four hundred".