109694040765120 has 1792 divisors, whose sum is σ = 466712849940480. Its totient is φ = 23733341356032.

The previous prime is 109694040765061. The next prime is 109694040765203. The reversal of 109694040765120 is 21567040496901.

109694040765120 is a `hidden beast` number, since 1 + 0 + 96 + 94 + 0 + 407 + 65 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×109694040765120² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12589693884 + ... + 12589702596.

Almost surely, 2^{109694040765120} is an apocalyptic number.

109694040765120 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 109694040765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233356424970240).

109694040765120 is an abundant number, since it is smaller than the sum of its proper divisors (357018809175360).

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

109694040765120 is a wasteful number, since it uses less digits than its factorization.

109694040765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8939 (or 8923 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 109694040765120 in words is "one hundred nine trillion, six hundred ninety-four billion, forty million, seven hundred sixty-five thousand, one hundred twenty".