725958159360 has 792 divisors, whose sum is σ = 2753659870416. Its totient is φ = 162756034560.

The previous prime is 725958159347. The next prime is 725958159361. The reversal of 725958159360 is 63951859527.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 725958159294 and 725958159303.

It is not an unprimeable number, because it can be changed into a prime (725958159361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4010818470 + ... + 4010818650.

Almost surely, 2^725958159360 is an apocalyptic number.

725958159360 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 725958159360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376829935208).

725958159360 is an abundant number, since it is smaller than the sum of its proper divisors (2027701711056).

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

725958159360 is a wasteful number, since it uses less digits than its factorization.

725958159360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 60.

The spelling of 725958159360 in words is "seven hundred twenty-five billion, nine hundred fifty-eight million, one hundred fifty-nine thousand, three hundred sixty".