109917655860096 has 384 divisors, whose sum is σ = 366492488456640. Its totient is φ = 30970148290560.

The previous prime is 109917655860091. The next prime is 109917655860101. The reversal of 109917655860096 is 690068556719901.

109917655860096 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 1 + 7 + 6 + 5 + 5 + 8 + 600 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (109917655860091) and next prime (109917655860101).

It is a tau number, because it is divible by the number of its divisors (384).

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 (109917655860091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6188699856 + ... + 6188717616.

Almost surely, 2^{109917655860096} is an apocalyptic number.

109917655860096 is a gapful number since it is divisible by the number (16) 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 109917655860096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183246244228320).

109917655860096 is an abundant number, since it is smaller than the sum of its proper divisors (256574832596544).

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

109917655860096 is a wasteful number, since it uses less digits than its factorization.

109917655860096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28374 (or 28359 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 72.

The spelling of 109917655860096 in words is "one hundred nine trillion, nine hundred seventeen billion, six hundred fifty-five million, eight hundred sixty thousand, ninety-six".