15725160000 has 945 divisors, whose sum is σ = 65339337063. Its totient is φ = 3611520000.

The previous prime is 15725159963. The next prime is 15725160041. The reversal of 15725160000 is 6152751.

The square root of 15725160000 is 125400.

It is a perfect power (a square), and thus also a powerful number.

15725160000 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 51 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1232852544 + 14492307456 = 35112^2 + 120384^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 827639991 + ... + 827640009.

Almost surely, 2^15725160000 is an apocalyptic number.

15725160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15725160000 is the 125400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15725160000

15725160000 is an abundant number, since it is smaller than the sum of its proper divisors (49614177063).

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

15725160000 is a wasteful number, since it uses less digits than its factorization.

15725160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 15725160000 in words is "fifteen billion, seven hundred twenty-five million, one hundred sixty thousand".