15920259600400 has 45 divisors (see below), whose sum is σ = 38248615411383. Its totient is φ = 6368071920000.

The previous prime is 15920259600359. The next prime is 15920259600403. The reversal of 15920259600400 is 400695202951.

The square root of 15920259600400 is 3990020.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8755515296784 + 7164744303616 = 2958972^2 + 2676704^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15920259600403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 79700650 + ... + 79900150.

Almost surely, 2^{15920259600400} is an apocalyptic number.

15920259600400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15920259600400 is the 3990020-th square number.

It is an amenable number.

15920259600400 is an abundant number, since it is smaller than the sum of its proper divisors (22328355810983).

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

15920259600400 is an frugal number, since it uses more digits than its factorization.

15920259600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399020 (or 199508 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 15920259600400 in words is "fifteen trillion, nine hundred twenty billion, two hundred fifty-nine million, six hundred thousand, four hundred".