16961479920 has 960 divisors, whose sum is σ = 74981867520. Its totient is φ = 3448811520.

The previous prime is 16961479907. The next prime is 16961479933. The reversal of 16961479920 is 2997416961.

It is a happy number.

16961479920 is a `hidden beast` number, since 16 + 9 + 614 + 7 + 9 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16961479907) and next prime (16961479933).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 133554897 + ... + 133555023.

It is an arithmetic number, because the mean of its divisors is an integer number (78106112).

Almost surely, 2^16961479920 is an apocalyptic number.

16961479920 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 16961479920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37490933760).

16961479920 is an abundant number, since it is smaller than the sum of its proper divisors (58020387600).

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

16961479920 is a wasteful number, since it uses less digits than its factorization.

16961479920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 16961479920 in words is "sixteen billion, nine hundred sixty-one million, four hundred seventy-nine thousand, nine hundred twenty".