15112048640 has 208 divisors, whose sum is σ = 40335891456. Its totient is φ = 5396889600.

The previous prime is 15112048619. The next prime is 15112048661. The reversal of 15112048640 is 4684021151.

It is an interprime number because it is at equal distance from previous prime (15112048619) and next prime (15112048661).

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 15112048597 and 15112048606.

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 15 ways as a sum of consecutive naturals, for example, 8252525 + ... + 8254355.

Almost surely, 2^15112048640 is an apocalyptic number.

15112048640 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 15112048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20167945728).

15112048640 is an abundant number, since it is smaller than the sum of its proper divisors (25223842816).

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

15112048640 is a wasteful number, since it uses less digits than its factorization.

15112048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

Adding to 15112048640 its reverse (4684021151), we get a palindrome (19796069791).

The spelling of 15112048640 in words is "fifteen billion, one hundred twelve million, forty-eight thousand, six hundred forty".