111115745280 has 1152 divisors, whose sum is σ = 441552384000. Its totient is φ = 25692733440.

The previous prime is 111115745269. The next prime is 111115745291. The reversal of 111115745280 is 82547511111.

It is a happy number.

111115745280 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 1 + 574 + 5 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (111115745269) and next prime (111115745291).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1248491476 + ... + 1248491564.

It is an arithmetic number, because the mean of its divisors is an integer number (383292000).

Almost surely, 2^111115745280 is an apocalyptic number.

111115745280 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 111115745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220776192000).

111115745280 is an abundant number, since it is smaller than the sum of its proper divisors (330436638720).

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

111115745280 is a wasteful number, since it uses less digits than its factorization.

111115745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 36.

The spelling of 111115745280 in words is "one hundred eleven billion, one hundred fifteen million, seven hundred forty-five thousand, two hundred eighty".