11588867640 has 640 divisors, whose sum is σ = 46969528320. Its totient is φ = 2506982400.

The previous prime is 11588867629. The next prime is 11588867651. The reversal of 11588867640 is 4676888511.

It is a happy number.

11588867640 is a `hidden beast` number, since 11 + 588 + 8 + 6 + 7 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (11588867629) and next prime (11588867651).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37263085 + ... + 37263395.

It is an arithmetic number, because the mean of its divisors is an integer number (73389888).

Almost surely, 2^11588867640 is an apocalyptic number.

11588867640 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 11588867640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23484764160).

11588867640 is an abundant number, since it is smaller than the sum of its proper divisors (35380660680).

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

11588867640 is a wasteful number, since it uses less digits than its factorization.

11588867640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 11588867640 in words is "eleven billion, five hundred eighty-eight million, eight hundred sixty-seven thousand, six hundred forty".