15162944640 has 512 divisors, whose sum is σ = 53855020800. Its totient is φ = 3611295744.

The previous prime is 15162944609. The next prime is 15162944677. The reversal of 15162944640 is 4644926151.

It is a junction number, because it is equal to n+sod(n) for n = 15162944592 and 15162944601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78564384 + ... + 78564576.

Almost surely, 2^15162944640 is an apocalyptic number.

15162944640 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 15162944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26927510400).

15162944640 is an abundant number, since it is smaller than the sum of its proper divisors (38692076160).

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

15162944640 is a wasteful number, since it uses less digits than its factorization.

15162944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 15162944640 in words is "fifteen billion, one hundred sixty-two million, nine hundred forty-four thousand, six hundred forty".