111606770056320 has 5120 divisors, whose sum is σ = 559705158144000. Its totient is φ = 20459484610560.

The previous prime is 111606770056259. The next prime is 111606770056357. The reversal of 111606770056320 is 23650077606111.

111606770056320 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 0 + 6 + 7 + 7 + 0 + 0 + 5 + 632 + 0 = 666.

It is a super-2 number, since 2×111606770056320² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 137956452076 + ... + 137956452884.

It is an arithmetic number, because the mean of its divisors is an integer number (109317413700).

Almost surely, 2^{111606770056320} is an apocalyptic number.

111606770056320 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 111606770056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279852579072000).

111606770056320 is an abundant number, since it is smaller than the sum of its proper divisors (448098388087680).

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

111606770056320 is a wasteful number, since it uses less digits than its factorization.

111606770056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 111606770056320 in words is "one hundred eleven trillion, six hundred six billion, seven hundred seventy million, fifty-six thousand, three hundred twenty".