15966813900 has 144 divisors (see below), whose sum is σ = 48275910144. Its totient is φ = 4066782720.

The previous prime is 15966813887. The next prime is 15966813937. The reversal of 15966813900 is 931866951.

It is a super-2 number, since 2×15966813900² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 15966813900.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6671104 + ... + 6673496.

It is an arithmetic number, because the mean of its divisors is an integer number (335249376).

Almost surely, 2^15966813900 is an apocalyptic number.

15966813900 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 15966813900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24137955072).

15966813900 is an abundant number, since it is smaller than the sum of its proper divisors (32309096244).

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

15966813900 is a wasteful number, since it uses less digits than its factorization.

15966813900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 15966813900 in words is "fifteen billion, nine hundred sixty-six million, eight hundred thirteen thousand, nine hundred".