11331140559088 has 240 divisors, whose sum is σ = 26098965422400. Its totient is φ = 4763775421440.

The previous prime is 11331140559059. The next prime is 11331140559127. The reversal of 11331140559088 is 88095504113311.

It is a super-2 number, since 2×11331140559088² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14968481206 + ... + 14968481962.

It is an arithmetic number, because the mean of its divisors is an integer number (108745689260).

Almost surely, 2^{11331140559088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331140559088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13049482711200).

11331140559088 is an abundant number, since it is smaller than the sum of its proper divisors (14767824863312).

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

11331140559088 is an frugal number, since it uses more digits than its factorization.

11331140559088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 49.

The spelling of 11331140559088 in words is "eleven trillion, three hundred thirty-one billion, one hundred forty million, five hundred fifty-nine thousand, eighty-eight".