16887698100 has 648 divisors, whose sum is σ = 68831407008. Its totient is φ = 3559852800.

The previous prime is 16887698081. The next prime is 16887698111. The reversal of 16887698100 is 189678861.

It is a super-2 number, since 2×16887698100² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 15478555 + ... + 15479645.

Almost surely, 2^16887698100 is an apocalyptic number.

16887698100 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 16887698100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34415703504).

16887698100 is an abundant number, since it is smaller than the sum of its proper divisors (51943708908).

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

16887698100 is a wasteful number, since it uses less digits than its factorization.

16887698100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 16887698100 in words is "sixteen billion, eight hundred eighty-seven million, six hundred ninety-eight thousand, one hundred".