659661641100 has 324 divisors, whose sum is σ = 2597410112752. Its totient is φ = 137072390400.

The previous prime is 659661641057. The next prime is 659661641123. The reversal of 659661641100 is 1146166956.

659661641100 is a `hidden beast` number, since 6 + 596 + 6 + 1 + 6 + 41 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 329622 + ... + 1194978.

Almost surely, 2^659661641100 is an apocalyptic number.

659661641100 is a gapful number since it is divisible by the number (60) 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 659661641100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298705056376).

659661641100 is an abundant number, since it is smaller than the sum of its proper divisors (1937748471652).

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

659661641100 is a wasteful number, since it uses less digits than its factorization.

659661641100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865406 (or 865385 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 659661641100 in words is "six hundred fifty-nine billion, six hundred sixty-one million, six hundred forty-one thousand, one hundred".