109933687088640 has 1120 divisors, whose sum is σ = 413763848356320. Its totient is φ = 27962601504768.

The previous prime is 109933687088627. The next prime is 109933687088647. The reversal of 109933687088640 is 46880786339901.

109933687088640 is a `hidden beast` number, since 1 + 0 + 99 + 336 + 8 + 70 + 88 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109933687088647) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4492027444 + ... + 4492051916.

It is an arithmetic number, because the mean of its divisors is an integer number (369432007461).

Almost surely, 2^{109933687088640} is an apocalyptic number.

109933687088640 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 109933687088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206881924178160).

109933687088640 is an abundant number, since it is smaller than the sum of its proper divisors (303830161267680).

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

109933687088640 is an frugal number, since it uses more digits than its factorization.

109933687088640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24626 (or 24595 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 109933687088640 in words is "one hundred nine trillion, nine hundred thirty-three billion, six hundred eighty-seven million, eighty-eight thousand, six hundred forty".