111163777920 has 1280 divisors, whose sum is σ = 468766932480. Its totient is φ = 24843386880.

The previous prime is 111163777919. The next prime is 111163777973. The reversal of 111163777920 is 29777361111.

111163777920 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 637 + 7 + 7 + 9 + 2 + 0 = 666.

It is a super-3 number, since 3×111163777920³ (a number of 34 digits) contains 333 as substring.

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 159 ways as a sum of consecutive naturals, for example, 355155684 + ... + 355155996.

It is an arithmetic number, because the mean of its divisors is an integer number (366224166).

Almost surely, 2^111163777920 is an apocalyptic number.

111163777920 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 111163777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234383466240).

111163777920 is an abundant number, since it is smaller than the sum of its proper divisors (357603154560).

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

111163777920 is a wasteful number, since it uses less digits than its factorization.

111163777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The spelling of 111163777920 in words is "one hundred eleven billion, one hundred sixty-three million, seven hundred seventy-seven thousand, nine hundred twenty".