109805456640 has 576 divisors, whose sum is σ = 404888601600. Its totient is φ = 25151938560.

The previous prime is 109805456627. The next prime is 109805456681. The reversal of 109805456640 is 46654508901.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 109805456640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289723971 + ... + 289724349.

It is an arithmetic number, because the mean of its divisors is an integer number (702931600).

Almost surely, 2^109805456640 is an apocalyptic number.

109805456640 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 109805456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202444300800).

109805456640 is an abundant number, since it is smaller than the sum of its proper divisors (295083144960).

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

109805456640 is an equidigital number, since it uses as much as digits as its factorization.

109805456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 109805456640 in words is "one hundred nine billion, eight hundred five million, four hundred fifty-six thousand, six hundred forty".