11631039840 has 216 divisors, whose sum is σ = 46171354320. Its totient is φ = 2658507264.

The previous prime is 11631039839. The next prime is 11631039853. The reversal of 11631039840 is 4893013611.

11631039840 is a `hidden beast` number, since 11 + 631 + 0 + 3 + 9 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11631039795 and 11631039804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11860 + ... + 152979.

It is an arithmetic number, because the mean of its divisors is an integer number (213756270).

Almost surely, 2^11631039840 is an apocalyptic number.

11631039840 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 11631039840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23085677160).

11631039840 is an abundant number, since it is smaller than the sum of its proper divisors (34540314480).

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

11631039840 is a wasteful number, since it uses less digits than its factorization.

11631039840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164874 (or 164856 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11631039840 in words is "eleven billion, six hundred thirty-one million, thirty-nine thousand, eight hundred forty".