11687639040 has 1152 divisors, whose sum is σ = 53231592960. Its totient is φ = 2388787200.

The previous prime is 11687639039. The next prime is 11687639059. The reversal of 11687639040 is 4093678611.

It is a happy number.

11687639040 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 7 + 639 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191600610 + ... + 191600670.

It is an arithmetic number, because the mean of its divisors is an integer number (46207980).

Almost surely, 2^11687639040 is an apocalyptic number.

11687639040 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 11687639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26615796480).

11687639040 is an abundant number, since it is smaller than the sum of its proper divisors (41543953920).

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

11687639040 is an equidigital number, since it uses as much as digits as its factorization.

11687639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11687639040 in words is "eleven billion, six hundred eighty-seven million, six hundred thirty-nine thousand, forty".