102209640698880 has 2112 divisors, whose sum is σ = 421313581398528. Its totient is φ = 22586059653120.

The previous prime is 102209640698833. The next prime is 102209640698897. The reversal of 102209640698880 is 88896046902201.

102209640698880 is a `hidden beast` number, since 10 + 2 + 209 + 6 + 406 + 9 + 8 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 322427888482 + ... + 322427888798.

Almost surely, 2^{102209640698880} is an apocalyptic number.

102209640698880 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 102209640698880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210656790699264).

102209640698880 is an abundant number, since it is smaller than the sum of its proper divisors (319103940699648).

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

102209640698880 is a wasteful number, since it uses less digits than its factorization.

102209640698880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 102209640698880 in words is "one hundred two trillion, two hundred nine billion, six hundred forty million, six hundred ninety-eight thousand, eight hundred eighty".