11681591040 has 576 divisors, whose sum is σ = 47917900800. Its totient is φ = 2639609856.

The previous prime is 11681591029. The next prime is 11681591057. The reversal of 11681591040 is 4019518611.

It is a happy number.

11681591040 is a `hidden beast` number, since 1 + 1 + 68 + 1 + 591 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 11681590986 and 11681591004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26369059 + ... + 26369501.

It is an arithmetic number, because the mean of its divisors is an integer number (83190800).

Almost surely, 2^11681591040 is an apocalyptic number.

11681591040 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 11681591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23958950400).

11681591040 is an abundant number, since it is smaller than the sum of its proper divisors (36236309760).

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

11681591040 is a wasteful number, since it uses less digits than its factorization.

11681591040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 11681591040 in words is "eleven billion, six hundred eighty-one million, five hundred ninety-one thousand, forty".