15118628640 has 384 divisors, whose sum is σ = 51502252032. Its totient is φ = 3718471680.

The previous prime is 15118628639. The next prime is 15118628653. The reversal of 15118628640 is 4682681151.

It is a junction number, because it is equal to n+sod(n) for n = 15118628592 and 15118628601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57485149 + ... + 57485411.

It is an arithmetic number, because the mean of its divisors is an integer number (134120448).

Almost surely, 2^15118628640 is an apocalyptic number.

15118628640 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 15118628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25751126016).

15118628640 is an abundant number, since it is smaller than the sum of its proper divisors (36383623392).

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

15118628640 is a wasteful number, since it uses less digits than its factorization.

15118628640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 15118628640 in words is "fifteen billion, one hundred eighteen million, six hundred twenty-eight thousand, six hundred forty".