16975930800 has 240 divisors, whose sum is σ = 55336378880. Its totient is φ = 4447872000.

The previous prime is 16975930789. The next prime is 16975930841. The reversal of 16975930800 is 803957961.

It is a tau number, because it is divible by the number of its divisors (240).

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 16975930800.

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, 31378530 + ... + 31379070.

Almost surely, 2^16975930800 is an apocalyptic number.

16975930800 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 16975930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27668189440).

16975930800 is an abundant number, since it is smaller than the sum of its proper divisors (38360448080).

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

16975930800 is a wasteful number, since it uses less digits than its factorization.

16975930800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 16975930800 in words is "sixteen billion, nine hundred seventy-five million, nine hundred thirty thousand, eight hundred".