11785026960 has 1200 divisors, whose sum is σ = 53063746560. Its totient is φ = 2368880640.

The previous prime is 11785026919. The next prime is 11785026961. The reversal of 11785026960 is 6962058711.

11785026960 is a `hidden beast` number, since 11 + 78 + 502 + 6 + 9 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11785026961) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 380162145 + ... + 380162175.

Almost surely, 2^11785026960 is an apocalyptic number.

11785026960 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 11785026960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26531873280).

11785026960 is an abundant number, since it is smaller than the sum of its proper divisors (41278719600).

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

11785026960 is a wasteful number, since it uses less digits than its factorization.

11785026960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11785026960 in words is "eleven billion, seven hundred eighty-five million, twenty-six thousand, nine hundred sixty".