11678590560 has 384 divisors, whose sum is σ = 45576566784. Its totient is φ = 2447769600.

The previous prime is 11678590549. The next prime is 11678590621. The reversal of 11678590560 is 6509587611.

It is a super-2 number, since 2×11678590560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 7293760 + ... + 7295360.

It is an arithmetic number, because the mean of its divisors is an integer number (118688976).

Almost surely, 2^11678590560 is an apocalyptic number.

11678590560 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 11678590560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22788283392).

11678590560 is an abundant number, since it is smaller than the sum of its proper divisors (33897976224).

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

11678590560 is a wasteful number, since it uses less digits than its factorization.

11678590560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 11678590560 in words is "eleven billion, six hundred seventy-eight million, five hundred ninety thousand, five hundred sixty".