15941880864 has 432 divisors, whose sum is σ = 58214624832. Its totient is φ = 4202025984.

The previous prime is 15941880853. The next prime is 15941880881. The reversal of 15941880864 is 46808814951.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 15941880864.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9198142 + ... + 9199874.

It is an arithmetic number, because the mean of its divisors is an integer number (134756076).

Almost surely, 2^15941880864 is an apocalyptic number.

15941880864 is a gapful number since it is divisible by the number (14) 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 15941880864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29107312416).

15941880864 is an abundant number, since it is smaller than the sum of its proper divisors (42272743968).

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

15941880864 is a wasteful number, since it uses less digits than its factorization.

15941880864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 15941880864 in words is "fifteen billion, nine hundred forty-one million, eight hundred eighty thousand, eight hundred sixty-four".