112660295126400 has 768 divisors, whose sum is σ = 471279961152000. Its totient is φ = 25746891448320.

The previous prime is 112660295126371. The next prime is 112660295126417. The reversal of 112660295126400 is 4621592066211.

112660295126400 is a `hidden beast` number, since 1 + 1 + 26 + 602 + 9 + 5 + 12 + 6 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5707487731 + ... + 5707507469.

It is an arithmetic number, because the mean of its divisors is an integer number (613645782750).

Almost surely, 2^{112660295126400} is an apocalyptic number.

112660295126400 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 112660295126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235639980576000).

112660295126400 is an abundant number, since it is smaller than the sum of its proper divisors (358619666025600).

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

112660295126400 is a wasteful number, since it uses less digits than its factorization.

112660295126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29216 (or 29193 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 112660295126400 in words is "one hundred twelve trillion, six hundred sixty billion, two hundred ninety-five million, one hundred twenty-six thousand, four hundred".