15368560900 has 405 divisors, whose sum is σ = 44704332533. Its totient is φ = 4581931200.

The previous prime is 15368560871. The next prime is 15368560901. The reversal of 15368560900 is 906586351.

The square root of 15368560900 is 123970.

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., 5532681924 + 9835878976 = 74382^2 + 99176^2 .

It is not an unprimeable number, because it can be changed into a prime (15368560901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 668198289 + ... + 668198311.

Almost surely, 2^15368560900 is an apocalyptic number.

15368560900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15368560900 is the 123970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15368560900

15368560900 is an abundant number, since it is smaller than the sum of its proper divisors (29335771633).

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

15368560900 is a wasteful number, since it uses less digits than its factorization.

15368560900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 48 counting only the distinct ones).

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

The spelling of 15368560900 in words is "fifteen billion, three hundred sixty-eight million, five hundred sixty thousand, nine hundred".