11107112575860 has 576 divisors, whose sum is σ = 40850760437760. Its totient is φ = 2388727480320.

The previous prime is 11107112575843. The next prime is 11107112575873. The reversal of 11107112575860 is 6857521170111.

11107112575860 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 7 + 1 + 12 + 57 + 586 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3452628972 + ... + 3452632188.

Almost surely, 2^{11107112575860} is an apocalyptic number.

11107112575860 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 11107112575860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20425380218880).

11107112575860 is an abundant number, since it is smaller than the sum of its proper divisors (29743647861900).

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

11107112575860 is a wasteful number, since it uses less digits than its factorization.

11107112575860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696 (or 5691 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 45.

The spelling of 11107112575860 in words is "eleven trillion, one hundred seven billion, one hundred twelve million, five hundred seventy-five thousand, eight hundred sixty".