111534025440 has 192 divisors, whose sum is σ = 362127931200. Its totient is φ = 28834283520.

The previous prime is 111534025429. The next prime is 111534025441. The reversal of 111534025440 is 44520435111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 111534025398 and 111534025407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111534025441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4979386 + ... + 5001734.

It is an arithmetic number, because the mean of its divisors is an integer number (1886082975).

Almost surely, 2^111534025440 is an apocalyptic number.

111534025440 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 111534025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181063965600).

111534025440 is an abundant number, since it is smaller than the sum of its proper divisors (250593905760).

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

111534025440 is a wasteful number, since it uses less digits than its factorization.

111534025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22685 (or 22677 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 111534025440 in words is "one hundred eleven billion, five hundred thirty-four million, twenty-five thousand, four hundred forty".