11152106691020 has 96 divisors (see below), whose sum is σ = 24043054694400. Its totient is φ = 4342541760000.

The previous prime is 11152106691017. The next prime is 11152106691053. The reversal of 11152106691020 is 2019660125111.

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, 787626701 + ... + 787640859.

It is an arithmetic number, because the mean of its divisors is an integer number (250448486400).

Almost surely, 2^{11152106691020} is an apocalyptic number.

11152106691020 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 11152106691020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12021527347200).

11152106691020 is an abundant number, since it is smaller than the sum of its proper divisors (12890948003380).

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

11152106691020 is a wasteful number, since it uses less digits than its factorization.

11152106691020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16239 (or 16237 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 35.

The spelling of 11152106691020 in words is "eleven trillion, one hundred fifty-two billion, one hundred six million, six hundred ninety-one thousand, twenty".