15112666002240 has 672 divisors, whose sum is σ = 55215625570560. Its totient is φ = 3786129211392.

The previous prime is 15112666002209. The next prime is 15112666002281. The reversal of 15112666002240 is 4220066621151.

15112666002240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15112666002195 and 15112666002204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 951132216 + ... + 951148104.

It is an arithmetic number, because the mean of its divisors is an integer number (82166109480).

Almost surely, 2^{15112666002240} is an apocalyptic number.

15112666002240 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 15112666002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27607812785280).

15112666002240 is an abundant number, since it is smaller than the sum of its proper divisors (40102959568320).

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

15112666002240 is a wasteful number, since it uses less digits than its factorization.

15112666002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16191 (or 16178 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 15112666002240 in words is "fifteen trillion, one hundred twelve billion, six hundred sixty-six million, two thousand, two hundred forty".