109266500575440 has 1280 divisors, whose sum is σ = 433345754096640. Its totient is φ = 25067897487360.

The previous prime is 109266500575439. The next prime is 109266500575499. The reversal of 109266500575440 is 44575005662901.

109266500575440 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 6 + 65 + 0 + 0 + 575 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×109266500575440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 34831525552 + ... + 34831528688.

It is an arithmetic number, because the mean of its divisors is an integer number (338551370388).

Almost surely, 2^{109266500575440} is an apocalyptic number.

109266500575440 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 109266500575440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216672877048320).

109266500575440 is an abundant number, since it is smaller than the sum of its proper divisors (324079253521200).

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

109266500575440 is a wasteful number, since it uses less digits than its factorization.

109266500575440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 109266500575440 in words is "one hundred nine trillion, two hundred sixty-six billion, five hundred million, five hundred seventy-five thousand, four hundred forty".