16957412900 has 36 divisors (see below), whose sum is σ = 37078512240. Its totient is φ = 6731181600.

The previous prime is 16957412897. The next prime is 16957412903. The reversal of 16957412900 is 921475961.

It is an interprime number because it is at equal distance from previous prime (16957412897) and next prime (16957412903).

It is a super-2 number, since 2×16957412900² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16957412903) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 634130 + ... + 660329.

Almost surely, 2^16957412900 is an apocalyptic number.

16957412900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16957412900 is an abundant number, since it is smaller than the sum of its proper divisors (20121099340).

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

16957412900 is a wasteful number, since it uses less digits than its factorization.

16957412900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294604 (or 1294597 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 44.

The spelling of 16957412900 in words is "sixteen billion, nine hundred fifty-seven million, four hundred twelve thousand, nine hundred".