725659314831360 has 3840 divisors, whose sum is σ = 3450954591436800. Its totient is φ = 140346025574400.

The previous prime is 725659314831323. The next prime is 725659314831413. The reversal of 725659314831360 is 63138413956527.

It is a happy number.

725659314831360 is a `hidden beast` number, since 7 + 2 + 5 + 6 + 5 + 93 + 1 + 483 + 1 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 255 ways as a sum of consecutive naturals, for example, 118552409100 + ... + 118552415220.

It is an arithmetic number, because the mean of its divisors is an integer number (898686091520).

It is a 2-persistent number, because it is pandigital, and so is 2⋅725659314831360 = 1451318629662720, but 3⋅725659314831360 = 2176977944494080 is not.

Almost surely, 2^{725659314831360} is an apocalyptic number.

725659314831360 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 725659314831360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725477295718400).

725659314831360 is an abundant number, since it is smaller than the sum of its proper divisors (2725295276605440).

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

725659314831360 is a wasteful number, since it uses less digits than its factorization.

725659314831360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6233 (or 6201 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 725659314831360 in words is "seven hundred twenty-five trillion, six hundred fifty-nine billion, three hundred fourteen million, eight hundred thirty-one thousand, three hundred sixty".