11101126791792 has 160 divisors (see below), whose sum is σ = 29429248907520. Its totient is φ = 3603939655680.

The previous prime is 11101126791743. The next prime is 11101126791841. The reversal of 11101126791792 is 29719762110111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11101126791743) and next prime (11101126791841).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1074540067 + ... + 1074550397.

It is an arithmetic number, because the mean of its divisors is an integer number (183932805672).

Almost surely, 2^{11101126791792} is an apocalyptic number.

11101126791792 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 11101126791792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14714624453760).

11101126791792 is an abundant number, since it is smaller than the sum of its proper divisors (18328122115728).

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

11101126791792 is a wasteful number, since it uses less digits than its factorization.

11101126791792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11831 (or 11825 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 48.

The spelling of 11101126791792 in words is "eleven trillion, one hundred one billion, one hundred twenty-six million, seven hundred ninety-one thousand, seven hundred ninety-two".