15274808890000 has 1125 divisors, whose sum is σ = 45607556835885. Its totient is φ = 4952597760000.

The previous prime is 15274808889971. The next prime is 15274808890007. The reversal of 15274808890000 is 9880847251.

It is a happy number.

The square root of 15274808890000 is 3908300.

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

It can be written as a sum of positive squares in 7 ways, for example, as 7459518988944 + 7815289901056 = 2731212^2 + 2795584^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 15274808890000.

It is not an unprimeable number, because it can be changed into a prime (15274808890007) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 803937309991 + ... + 803937310009.

Almost surely, 2^{15274808890000} is an apocalyptic number.

15274808890000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15274808890000 is the 3908300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15274808890000

15274808890000 is an abundant number, since it is smaller than the sum of its proper divisors (30332747945885).

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

15274808890000 is an frugal number, since it uses more digits than its factorization.

15274808890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 52.

The spelling of 15274808890000 in words is "fifteen trillion, two hundred seventy-four billion, eight hundred eight million, eight hundred ninety thousand".