15946129920 has 320 divisors, whose sum is σ = 59509334016. Its totient is φ = 3566714880.

The previous prime is 15946129891. The next prime is 15946129957. The reversal of 15946129920 is 2992164951.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a self number, because there is not a number n which added to its sum of digits gives 15946129920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2523565 + ... + 2529875.

Almost surely, 2^15946129920 is an apocalyptic number.

15946129920 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 15946129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29754667008).

15946129920 is an abundant number, since it is smaller than the sum of its proper divisors (43563204096).

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

15946129920 is an equidigital number, since it uses as much as digits as its factorization.

15946129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6391 (or 6375 counting only the distinct ones).

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

The spelling of 15946129920 in words is "fifteen billion, nine hundred forty-six million, one hundred twenty-nine thousand, nine hundred twenty".