111253779495360 has 1344 divisors, whose sum is σ = 422236396632960. Its totient is φ = 27842748088320.

The previous prime is 111253779495359. The next prime is 111253779495503. The reversal of 111253779495360 is 63594977352111.

111253779495360 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 5 + 3 + 7 + 7 + 94 + 9 + 536 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10498605582 + ... + 10498616178.

It is an arithmetic number, because the mean of its divisors is an integer number (314163985590).

Almost surely, 2^{111253779495360} is an apocalyptic number.

111253779495360 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 111253779495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211118198316480).

111253779495360 is an abundant number, since it is smaller than the sum of its proper divisors (310982617137600).

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

111253779495360 is a wasteful number, since it uses less digits than its factorization.

111253779495360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10796 (or 10774 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 111253779495360 in words is "one hundred eleven trillion, two hundred fifty-three billion, seven hundred seventy-nine million, four hundred ninety-five thousand, three hundred sixty".