15065791680 has 448 divisors, whose sum is σ = 52992479232. Its totient is φ = 3609722880.

The previous prime is 15065791669. The next prime is 15065791693. The reversal of 15065791680 is 8619756051.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 49074087 + ... + 49074393.

It is an arithmetic number, because the mean of its divisors is an integer number (118286784).

Almost surely, 2^15065791680 is an apocalyptic number.

15065791680 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 15065791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26496239616).

15065791680 is an abundant number, since it is smaller than the sum of its proper divisors (37926687552).

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

15065791680 is a wasteful number, since it uses less digits than its factorization.

15065791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 15065791680 in words is "fifteen billion, sixty-five million, seven hundred ninety-one thousand, six hundred eighty".