11117727517050 has 288 divisors, whose sum is σ = 37486696126464. Its totient is φ = 2294876880000.

The previous prime is 11117727517033. The next prime is 11117727517069. The reversal of 11117727517050 is 5071572771111.

11117727517050 is a `hidden beast` number, since 1 + 1 + 1 + 17 + 72 + 7 + 517 + 0 + 50 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11117727516987 and 11117727517005.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 4169707 + ... + 6294593.

It is an arithmetic number, because the mean of its divisors is an integer number (130162139328).

Almost surely, 2^{11117727517050} is an apocalyptic number.

11117727517050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11117727517050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18743348063232).

11117727517050 is an abundant number, since it is smaller than the sum of its proper divisors (26368968609414).

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

11117727517050 is a wasteful number, since it uses less digits than its factorization.

11117727517050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125074 (or 2125066 counting only the distinct ones).

The product of its (nonzero) digits is 120050, while the sum is 45.

The spelling of 11117727517050 in words is "eleven trillion, one hundred seventeen billion, seven hundred twenty-seven million, five hundred seventeen thousand, fifty".