16975314720 has 768 divisors, whose sum is σ = 75696768000. Its totient is φ = 3455778816.

The previous prime is 16975314701. The next prime is 16975314731. The reversal of 16975314720 is 2741357961.

16975314720 is a `hidden beast` number, since 1 + 6 + 97 + 531 + 4 + 7 + 20 = 666.

It is a super-2 number, since 2×16975314720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11399736 + ... + 11401224.

It is an arithmetic number, because the mean of its divisors is an integer number (98563500).

Almost surely, 2^16975314720 is an apocalyptic number.

16975314720 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 16975314720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37848384000).

16975314720 is an abundant number, since it is smaller than the sum of its proper divisors (58721453280).

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

16975314720 is a wasteful number, since it uses less digits than its factorization.

16975314720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 16975314720 in words is "sixteen billion, nine hundred seventy-five million, three hundred fourteen thousand, seven hundred twenty".