725896800000 has 648 divisors, whose sum is σ = 2680901692560. Its totient is φ = 188774400000.

The previous prime is 725896799983. The next prime is 725896800011. The reversal of 725896800000 is 8698527.

725896800000 is a `hidden beast` number, since 7 + 2 + 589 + 68 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 295198771 + ... + 295201229.

It is an arithmetic number, because the mean of its divisors is an integer number (4137193970).

Almost surely, 2^725896800000 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 725896800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340450846280).

725896800000 is an abundant number, since it is smaller than the sum of its proper divisors (1955004892560).

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

725896800000 is an equidigital number, since it uses as much as digits as its factorization.

725896800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 725896800000 in words is "seven hundred twenty-five billion, eight hundred ninety-six million, eight hundred thousand".