109785801664 has 112 divisors (see below), whose sum is σ = 271728078336. Its totient is φ = 42755558400.

The previous prime is 109785801659. The next prime is 109785801667. The reversal of 109785801664 is 466108587901.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109785801667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22582594 + ... + 22587454.

Almost surely, 2^109785801664 is an apocalyptic number.

109785801664 is a gapful number since it is divisible by the number (14) 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 109785801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135864039168).

109785801664 is an abundant number, since it is smaller than the sum of its proper divisors (161942276672).

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

109785801664 is a wasteful number, since it uses less digits than its factorization.

109785801664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9474 (or 9464 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 109785801664 in words is "one hundred nine billion, seven hundred eighty-five million, eight hundred one thousand, six hundred sixty-four".