16251126120153 has 24 divisors (see below), whose sum is σ = 24109184044296. Its totient is φ = 10540874476800.

The previous prime is 16251126120137. The next prime is 16251126120181. The reversal of 16251126120153 is 35102162115261.

16251126120153 is a `hidden beast` number, since 1 + 6 + 2 + 511 + 2 + 6 + 120 + 15 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20605741209 + 16230520378944 = 143547^2 + 4028712^2 .

It is not a de Polignac number, because 16251126120153 - 2⁴ = 16251126120137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16251126160153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8080293 + ... + 9889053.

It is an arithmetic number, because the mean of its divisors is an integer number (1004549335179).

Almost surely, 2^{16251126120153} is an apocalyptic number.

It is an amenable number.

16251126120153 is a deficient number, since it is larger than the sum of its proper divisors (7858057924143).

16251126120153 is a wasteful number, since it uses less digits than its factorization.

16251126120153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835785 (or 1835782 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 16251126120153 in words is "sixteen trillion, two hundred fifty-one billion, one hundred twenty-six million, one hundred twenty thousand, one hundred fifty-three".