16957650900 has 72 divisors (see below), whose sum is σ = 49083045984. Its totient is φ = 4520297600.

The previous prime is 16957650823. The next prime is 16957650923. The reversal of 16957650900 is 905675961.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 16957650900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 893914 + ... + 912686.

It is an arithmetic number, because the mean of its divisors is an integer number (681708972).

Almost surely, 2^16957650900 is an apocalyptic number.

16957650900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16957650900 is an abundant number, since it is smaller than the sum of its proper divisors (32125395084).

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

16957650900 is a wasteful number, since it uses less digits than its factorization.

16957650900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21801 (or 21794 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 48.

The spelling of 16957650900 in words is "sixteen billion, nine hundred fifty-seven million, six hundred fifty thousand, nine hundred".