15492780900 has 189 divisors, whose sum is σ = 50515520923. Its totient is φ = 4122446400.

The previous prime is 15492780883. The next prime is 15492780911. The reversal of 15492780900 is 908729451.

The square root of 15492780900 is 124470.

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

15492780900 is a `hidden beast` number, since 1 + 5 + 492 + 78 + 0 + 90 + 0 = 666.

15492780900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1583880804 + 13908900096 = 39798^2 + 117936^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 33606670 + ... + 33607130.

Almost surely, 2^15492780900 is an apocalyptic number.

15492780900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15492780900 is the 124470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15492780900

15492780900 is an abundant number, since it is smaller than the sum of its proper divisors (35022740023).

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

15492780900 is an frugal number, since it uses more digits than its factorization.

15492780900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 15492780900 in words is "fifteen billion, four hundred ninety-two million, seven hundred eighty thousand, nine hundred".