11631386880 has 108 divisors (see below), whose sum is σ = 40243426860. Its totient is φ = 3101700096.

The previous prime is 11631386873. The next prime is 11631386887. The reversal of 11631386880 is 8868313611.

11631386880 is a `hidden beast` number, since 1 + 1 + 631 + 3 + 8 + 6 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11631386873) and next prime (11631386887).

It can be written as a sum of positive squares in 2 ways, for example, as 1739890944 + 9891495936 = 41712^2 + 99456^2 .

It is a super-2 number, since 2×11631386880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11631386887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 493315 + ... + 516354.

Almost surely, 2^11631386880 is an apocalyptic number.

11631386880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11631386880 is an abundant number, since it is smaller than the sum of its proper divisors (28612039980).

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

11631386880 is a wasteful number, since it uses less digits than its factorization.

11631386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009696 (or 1009679 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 11631386880 in words is "eleven billion, six hundred thirty-one million, three hundred eighty-six thousand, eight hundred eighty".