111628764720 has 240 divisors, whose sum is σ = 409188622752. Its totient is φ = 27046871040.

The previous prime is 111628764713. The next prime is 111628764743. The reversal of 111628764720 is 27467826111.

111628764720 is a `hidden beast` number, since 1 + 11 + 628 + 7 + 6 + 4 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×111628764720² (a number of 23 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 47 ways as a sum of consecutive naturals, for example, 24842794 + ... + 24847286.

Almost surely, 2^111628764720 is an apocalyptic number.

111628764720 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 111628764720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204594311376).

111628764720 is an abundant number, since it is smaller than the sum of its proper divisors (297559858032).

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

111628764720 is a wasteful number, since it uses less digits than its factorization.

111628764720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7660 (or 7651 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 111628764720 in words is "one hundred eleven billion, six hundred twenty-eight million, seven hundred sixty-four thousand, seven hundred twenty".