15272016400 has 135 divisors (see below), whose sum is σ = 37936627239. Its totient is φ = 5908112640.

The previous prime is 15272016379. The next prime is 15272016401. The reversal of 15272016400 is 461027251.

The square root of 15272016400 is 123580.

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 1449781776 + 13822234624 = 38076^2 + 117568^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15272016401) 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, 91449117 + ... + 91449283.

Almost surely, 2^15272016400 is an apocalyptic number.

15272016400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15272016400 is the 123580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15272016400

15272016400 is an abundant number, since it is smaller than the sum of its proper divisors (22664610839).

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

15272016400 is an equidigital number, since it uses as much as digits as its factorization.

15272016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 15272016400 in words is "fifteen billion, two hundred seventy-two million, sixteen thousand, four hundred".