11107683998928 has 640 divisors, whose sum is σ = 37429504358400. Its totient is φ = 3118039142400.

The previous prime is 11107683998921. The next prime is 11107683998933. The reversal of 11107683998928 is 82989938670111.

It is a happy number.

It is a super-2 number, since 2×11107683998928² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11107683998921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1469072268 + ... + 1469079828.

It is an arithmetic number, because the mean of its divisors is an integer number (58483600560).

Almost surely, 2^{11107683998928} is an apocalyptic number.

11107683998928 is a gapful number since it is divisible by the number (18) 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 11107683998928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18714752179200).

11107683998928 is an abundant number, since it is smaller than the sum of its proper divisors (26321820359472).

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

11107683998928 is a wasteful number, since it uses less digits than its factorization.

11107683998928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7968 (or 7956 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 72.

The spelling of 11107683998928 in words is "eleven trillion, one hundred seven billion, six hundred eighty-three million, nine hundred ninety-eight thousand, nine hundred twenty-eight".