109989942128640 has 1664 divisors, whose sum is σ = 471187628851200. Its totient is φ = 23777987788800.

The previous prime is 109989942128623. The next prime is 109989942128669. The reversal of 109989942128640 is 46821249989901.

109989942128640 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 89 + 9 + 421 + 2 + 86 + 40 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77294406969 + ... + 77294408391.

Almost surely, 2^{109989942128640} is an apocalyptic number.

109989942128640 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 109989942128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235593814425600).

109989942128640 is an abundant number, since it is smaller than the sum of its proper divisors (361197686722560).

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

109989942128640 is a wasteful number, since it uses less digits than its factorization.

109989942128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 109989942128640 in words is "one hundred nine trillion, nine hundred eighty-nine billion, nine hundred forty-two million, one hundred twenty-eight thousand, six hundred forty".