111427135732640 has 384 divisors, whose sum is σ = 325182089852928. Its totient is φ = 35135829872640.

The previous prime is 111427135732639. The next prime is 111427135732651. The reversal of 111427135732640 is 46237531724111.

It is a super-2 number, since 2×111427135732640² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20145926675 + ... + 20145932205.

It is an arithmetic number, because the mean of its divisors is an integer number (846828358992).

Almost surely, 2^{111427135732640} is an apocalyptic number.

111427135732640 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 111427135732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162591044926464).

111427135732640 is an abundant number, since it is smaller than the sum of its proper divisors (213754954120288).

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

111427135732640 is a wasteful number, since it uses less digits than its factorization.

111427135732640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10380 (or 10372 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 111427135732640 in words is "one hundred eleven trillion, four hundred twenty-seven billion, one hundred thirty-five million, seven hundred thirty-two thousand, six hundred forty".