15115151351200 has 144 divisors (see below), whose sum is σ = 37154178230400. Its totient is φ = 6004405560320.

The previous prime is 15115151351191. The next prime is 15115151351203. The reversal of 15115151351200 is 215315151151.

It is not an unprimeable number, because it can be changed into a prime (15115151351203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164219909 + ... + 1164232891.

It is an arithmetic number, because the mean of its divisors is an integer number (258015126600).

Almost surely, 2^{15115151351200} is an apocalyptic number.

15115151351200 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 15115151351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18577089115200).

15115151351200 is an abundant number, since it is smaller than the sum of its proper divisors (22039026879200).

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

15115151351200 is a wasteful number, since it uses less digits than its factorization.

15115151351200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22919 (or 22906 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 31.

The spelling of 15115151351200 in words is "fifteen trillion, one hundred fifteen billion, one hundred fifty-one million, three hundred fifty-one thousand, two hundred".