15272404200 has 504 divisors, whose sum is σ = 55515601350. Its totient is φ = 3905107200.

The previous prime is 15272404187. The next prime is 15272404201. The reversal of 15272404200 is 240427251.

15272404200 is a `hidden beast` number, since 1 + 52 + 7 + 2 + 404 + 200 = 666.

15272404200 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 3 ways, for example, as 12579416964 + 2692987236 = 112158^2 + 51894^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (15272404201) by changing a digit.

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 125 ways as a sum of consecutive naturals, for example, 140113746 + ... + 140113854.

Almost surely, 2^15272404200 is an apocalyptic number.

15272404200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15272404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27757800675).

15272404200 is an abundant number, since it is smaller than the sum of its proper divisors (40243197150).

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

15272404200 is a wasteful number, since it uses less digits than its factorization.

15272404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The spelling of 15272404200 in words is "fifteen billion, two hundred seventy-two million, four hundred four thousand, two hundred".