112779934502400 has 2520 divisors, whose sum is σ = 468569252539080. Its totient is φ = 26861314867200.

The previous prime is 112779934502359. The next prime is 112779934502401. The reversal of 112779934502400 is 4205439977211.

112779934502400 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 7 + 9 + 93 + 4 + 502 + 40 + 0 = 666.

112779934502400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (112779934502401) by changing a digit.

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 251 ways as a sum of consecutive naturals, for example, 66615435954 + ... + 66615437646.

It is an arithmetic number, because the mean of its divisors is an integer number (185940179579).

Almost surely, 2^{112779934502400} is an apocalyptic number.

112779934502400 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 112779934502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234284626269540).

112779934502400 is an abundant number, since it is smaller than the sum of its proper divisors (355789318036680).

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

112779934502400 is an equidigital number, since it uses as much as digits as its factorization.

112779934502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 112779934502400 in words is "one hundred twelve trillion, seven hundred seventy-nine billion, nine hundred thirty-four million, five hundred two thousand, four hundred".