11152022415040 has 224 divisors, whose sum is σ = 30527699005440. Its totient is φ = 3846005452800.

The previous prime is 11152022414903. The next prime is 11152022415047. The reversal of 11152022415040 is 4051422025111.

It is not an unprimeable number, because it can be changed into a prime (11152022415047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4618225 + ... + 6605455.

It is an arithmetic number, because the mean of its divisors is an integer number (136284370560).

Almost surely, 2^{11152022415040} is an apocalyptic number.

11152022415040 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 11152022415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15263849502720).

11152022415040 is an abundant number, since it is smaller than the sum of its proper divisors (19375676590400).

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

11152022415040 is a wasteful number, since it uses less digits than its factorization.

11152022415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987351 (or 1987341 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The spelling of 11152022415040 in words is "eleven trillion, one hundred fifty-two billion, twenty-two million, four hundred fifteen thousand, forty".