113262780256600 has 192 divisors, whose sum is σ = 285066554572800. Its totient is φ = 41603009425920.

The previous prime is 113262780256597. The next prime is 113262780256603. The reversal of 113262780256600 is 6652087262311.

113262780256600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (113262780256597) and next prime (113262780256603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113262780256603) 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 47 ways as a sum of consecutive naturals, for example, 824986761 + ... + 825124039.

It is an arithmetic number, because the mean of its divisors is an integer number (1484721638400).

Almost surely, 2^{113262780256600} is an apocalyptic number.

113262780256600 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 113262780256600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142533277286400).

113262780256600 is an abundant number, since it is smaller than the sum of its proper divisors (171803774316200).

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

113262780256600 is a wasteful number, since it uses less digits than its factorization.

113262780256600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138954 (or 138945 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 113262780256600 in words is "one hundred thirteen trillion, two hundred sixty-two billion, seven hundred eighty million, two hundred fifty-six thousand, six hundred".