16968292024320 has 5760 divisors, whose sum is σ = 86562759628800. Its totient is φ = 3082108796928.

The previous prime is 16968292024223. The next prime is 16968292024363. The reversal of 16968292024320 is 2342029286961.

16968292024320 is a `hidden beast` number, since 1 + 6 + 9 + 6 + 8 + 292 + 0 + 24 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 585113518066 + ... + 585113518094.

It is an arithmetic number, because the mean of its divisors is an integer number (15028256880).

Almost surely, 2^{16968292024320} is an apocalyptic number.

16968292024320 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 16968292024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43281379814400).

16968292024320 is an abundant number, since it is smaller than the sum of its proper divisors (69594467604480).

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

16968292024320 is a wasteful number, since it uses less digits than its factorization.

16968292024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 16968292024320 in words is "sixteen trillion, nine hundred sixty-eight billion, two hundred ninety-two million, twenty-four thousand, three hundred twenty".