725242556289888 has 360 divisors, whose sum is σ = 2672007437029392. Its totient is φ = 191272761662976.

The previous prime is 725242556289883. The next prime is 725242556289943. The reversal of 725242556289888 is 888982655242527.

725242556289888 is a `hidden beast` number, since 7 + 2 + 5 + 2 + 4 + 255 + 6 + 289 + 8 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725242556289883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 217972420 + ... + 221274627.

Almost surely, 2^{725242556289888} is an apocalyptic number.

725242556289888 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

725242556289888 is an abundant number, since it is smaller than the sum of its proper divisors (1946764880739504).

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

725242556289888 is a wasteful number, since it uses less digits than its factorization.

725242556289888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439247096 (or 439247072 counting only the distinct ones).

The product of its digits is 12386304000, while the sum is 81.

The spelling of 725242556289888 in words is "seven hundred twenty-five trillion, two hundred forty-two billion, five hundred fifty-six million, two hundred eighty-nine thousand, eight hundred eighty-eight".