111307996800 has 2592 divisors, whose sum is σ = 560268203040. Its totient is φ = 21349785600.

The previous prime is 111307996781. The next prime is 111307996801. The reversal of 111307996800 is 8699703111.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (111307996801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 8562153594 + ... + 8562153606.

Almost surely, 2^111307996800 is an apocalyptic number.

111307996800 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 111307996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280134101520).

111307996800 is an abundant number, since it is smaller than the sum of its proper divisors (448960206240).

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

111307996800 is a wasteful number, since it uses less digits than its factorization.

111307996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 111307996800 in words is "one hundred eleven billion, three hundred seven million, nine hundred ninety-six thousand, eight hundred".