111557317893120 has 1408 divisors, whose sum is σ = 459508411468800. Its totient is φ = 25405548134400.

The previous prime is 111557317893103. The next prime is 111557317893127. The reversal of 111557317893120 is 21398713755111.

It is a happy number.

111557317893120 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 5 + 7 + 317 + 8 + 9 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111557317893127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1631612535 + ... + 1631680905.

Almost surely, 2^{111557317893120} is an apocalyptic number.

111557317893120 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 111557317893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229754205734400).

111557317893120 is an abundant number, since it is smaller than the sum of its proper divisors (347951093575680).

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

111557317893120 is a wasteful number, since it uses less digits than its factorization.

111557317893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68482 (or 68458 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 54.

The spelling of 111557317893120 in words is "one hundred eleven trillion, five hundred fifty-seven billion, three hundred seventeen million, eight hundred ninety-three thousand, one hundred twenty".