111354082560 has 720 divisors, whose sum is σ = 461993317632. Its totient is φ = 25082265600.

The previous prime is 111354082523. The next prime is 111354082583. The reversal of 111354082560 is 65280453111.

111354082560 is a `hidden beast` number, since 1 + 1 + 13 + 5 + 4 + 0 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51527880 + ... + 51530040.

Almost surely, 2^111354082560 is an apocalyptic number.

111354082560 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 111354082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230996658816).

111354082560 is an abundant number, since it is smaller than the sum of its proper divisors (350639235072).

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

111354082560 is an equidigital number, since it uses as much as digits as its factorization.

111354082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 111354082560 in words is "one hundred eleven billion, three hundred fifty-four million, eighty-two thousand, five hundred sixty".