11631117540 has 144 divisors (see below), whose sum is σ = 38460272256. Its totient is φ = 2572692480.

The previous prime is 11631117529. The next prime is 11631117559. The reversal of 11631117540 is 4571113611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11631117498 and 11631117507.

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, 389212 + ... + 418028.

It is an arithmetic number, because the mean of its divisors is an integer number (267085224).

Almost surely, 2^11631117540 is an apocalyptic number.

11631117540 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 11631117540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19230136128).

11631117540 is an abundant number, since it is smaller than the sum of its proper divisors (26829154716).

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

11631117540 is a wasteful number, since it uses less digits than its factorization.

11631117540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28898 (or 28865 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The spelling of 11631117540 in words is "eleven billion, six hundred thirty-one million, one hundred seventeen thousand, five hundred forty".