112542328080 has 960 divisors, whose sum is σ = 487936770048. Its totient is φ = 22608875520.

The previous prime is 112542328051. The next prime is 112542328117. The reversal of 112542328080 is 80823245211.

It is a happy number.

112542328080 is a `hidden beast` number, since 1 + 1 + 2 + 542 + 32 + 8 + 0 + 80 = 666.

It is a super-3 number, since 3×112542328080³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 136084627 + ... + 136085453.

Almost surely, 2^112542328080 is an apocalyptic number.

112542328080 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 112542328080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243968385024).

112542328080 is an abundant number, since it is smaller than the sum of its proper divisors (375394441968).

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

112542328080 is a wasteful number, since it uses less digits than its factorization.

112542328080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 112542328080 in words is "one hundred twelve billion, five hundred forty-two million, three hundred twenty-eight thousand, eighty".