15296742400 has 99 divisors (see below), whose sum is σ = 37966513471. Its totient is φ = 6110781440.

The previous prime is 15296742389. The next prime is 15296742401. The reversal of 15296742400 is 424769251.

The square root of 15296742400 is 123680.

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 5932696576 + 9364045824 = 77024^2 + 96768^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15296742401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19788414 + ... + 19789186.

Almost surely, 2^15296742400 is an apocalyptic number.

15296742400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15296742400 is the 123680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15296742400

15296742400 is an abundant number, since it is smaller than the sum of its proper divisors (22669771071).

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

15296742400 is an frugal number, since it uses more digits than its factorization.

15296742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 15296742400 in words is "fifteen billion, two hundred ninety-six million, seven hundred forty-two thousand, four hundred".