725500993351680 has 1248 divisors, whose sum is σ = 3102509950525440. Its totient is φ = 152705929052160.

The previous prime is 725500993351661. The next prime is 725500993351727. The reversal of 725500993351680 is 86153399005527.

It is a happy number.

725500993351680 is a `hidden beast` number, since 7 + 2 + 5 + 5 + 0 + 0 + 9 + 9 + 33 + 516 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7027885665 + ... + 7027988895.

It is an arithmetic number, because the mean of its divisors is an integer number (2485985537280).

Almost surely, 2^{725500993351680} is an apocalyptic number.

725500993351680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725500993351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551254975262720).

725500993351680 is an abundant number, since it is smaller than the sum of its proper divisors (2377008957173760).

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

725500993351680 is a wasteful number, since it uses less digits than its factorization.

725500993351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103705 (or 103680 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 725500993351680 in words is "seven hundred twenty-five trillion, five hundred billion, nine hundred ninety-three million, three hundred fifty-one thousand, six hundred eighty".