113777517777000 has 1024 divisors, whose sum is σ = 466397064806400. Its totient is φ = 22390156800000.

The previous prime is 113777517776987. The next prime is 113777517777017. The reversal of 113777517777000 is 777715777311.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 536506986 + ... + 536719014.

It is an arithmetic number, because the mean of its divisors is an integer number (455465883600).

Almost surely, 2^{113777517777000} is an apocalyptic number.

113777517777000 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 113777517777000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233198532403200).

113777517777000 is an abundant number, since it is smaller than the sum of its proper divisors (352619547029400).

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

113777517777000 is a wasteful number, since it uses less digits than its factorization.

113777517777000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212195 (or 212181 counting only the distinct ones).

The product of its (nonzero) digits is 12353145, while the sum is 60.

The spelling of 113777517777000 in words is "one hundred thirteen trillion, seven hundred seventy-seven billion, five hundred seventeen million, seven hundred seventy-seven thousand".