11111759172 has 168 divisors, whose sum is σ = 31138223424. Its totient is φ = 3459589056.

The previous prime is 11111759111. The next prime is 11111759173. The reversal of 11111759172 is 27195711111.

It is a super-2 number, since 2×11111759172² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11111759173) 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 55 ways as a sum of consecutive naturals, for example, 2881998 + ... + 2885850.

It is an arithmetic number, because the mean of its divisors is an integer number (185346568).

Almost surely, 2^11111759172 is an apocalyptic number.

11111759172 is a gapful number since it is divisible by the number (12) 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 11111759172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15569111712).

11111759172 is an abundant number, since it is smaller than the sum of its proper divisors (20026464252).

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

11111759172 is a wasteful number, since it uses less digits than its factorization.

11111759172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3924 counting only the distinct ones).

The product of its digits is 4410, while the sum is 36.

The spelling of 11111759172 in words is "eleven billion, one hundred eleven million, seven hundred fifty-nine thousand, one hundred seventy-two".