15680048400 has 135 divisors (see below), whose sum is σ = 54440208901. Its totient is φ = 4179342720.

The previous prime is 15680048393. The next prime is 15680048401. The reversal of 15680048400 is 484008651.

The square root of 15680048400 is 125220.

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

It can be written as a sum of positive squares in only one way, i.e., 5644817424 + 10035230976 = 75132^2 + 100176^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15680048401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7512157 + ... + 7514243.

Almost surely, 2^15680048400 is an apocalyptic number.

15680048400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15680048400 is the 125220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15680048400

15680048400 is an abundant number, since it is smaller than the sum of its proper divisors (38760160501).

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

15680048400 is an equidigital number, since it uses as much as digits as its factorization.

15680048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Multiplying 15680048400 by its sum of digits (36), we get a square (564481742400 = 751320²).

15680048400 divided by its sum of digits (36) gives a square (435556900 = 20870²).

The spelling of 15680048400 in words is "fifteen billion, six hundred eighty million, forty-eight thousand, four hundred".