112987768320 has 1080 divisors, whose sum is σ = 479849836752. Its totient is φ = 24992686080.

The previous prime is 112987768303. The next prime is 112987768409. The reversal of 112987768320 is 23867789211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3644766705 + ... + 3644766735.

Almost surely, 2^112987768320 is an apocalyptic number.

112987768320 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 112987768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239924918376).

112987768320 is an abundant number, since it is smaller than the sum of its proper divisors (366862068432).

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

112987768320 is an frugal number, since it uses more digits than its factorization.

112987768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 112987768320 in words is "one hundred twelve billion, nine hundred eighty-seven million, seven hundred sixty-eight thousand, three hundred twenty".