15009727829121 has 45 divisors (see below), whose sum is σ = 22713522183891. Its totient is φ = 9878007705696.

The previous prime is 15009727829093. The next prime is 15009727829137. The reversal of 15009727829121 is 12192872790051.

The square root of 15009727829121 is 3874239.

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

15009727829121 is a `hidden beast` number, since 1 + 500 + 9 + 7 + 2 + 7 + 8 + 2 + 9 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1549927891521 + 13459799937600 = 1244961^2 + 3668760^2 .

It is not a de Polignac number, because 15009727829121 - 2³⁹ = 14459972015233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (15009727829221) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2754581205 + ... + 2754586653.

Almost surely, 2^{15009727829121} is an apocalyptic number.

15009727829121 is the 3874239-th square number.

15009727829121 is the 1937120-th centered octagonal number.

It is an amenable number.

15009727829121 is a deficient number, since it is larger than the sum of its proper divisors (7703794354770).

15009727829121 is an frugal number, since it uses more digits than its factorization.

15009727829121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11068 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 15009727829121 in words is "fifteen trillion, nine billion, seven hundred twenty-seven million, eight hundred twenty-nine thousand, one hundred twenty-one".