11553101440 has 128 divisors (see below), whose sum is σ = 27937897920. Its totient is φ = 4568309760.

The previous prime is 11553101389. The next prime is 11553101447. The reversal of 11553101440 is 4410135511.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (11553101447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40823539 + ... + 40823821.

Almost surely, 2^11553101440 is an apocalyptic number.

11553101440 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 11553101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13968948960).

11553101440 is an abundant number, since it is smaller than the sum of its proper divisors (16384796480).

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

11553101440 is a wasteful number, since it uses less digits than its factorization.

11553101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 11553101440 its reverse (4410135511), we get a palindrome (15963236951).

The spelling of 11553101440 in words is "eleven billion, five hundred fifty-three million, one hundred one thousand, four hundred forty".