11905267680 has 192 divisors, whose sum is σ = 42171736320. Its totient is φ = 3136393728.

The previous prime is 11905267679. The next prime is 11905267681. The reversal of 11905267680 is 8676250911.

11905267680 is a `hidden beast` number, since 119 + 0 + 526 + 7 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11905267679) and next prime (11905267681).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11905267681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341959 + ... + 375161.

It is an arithmetic number, because the mean of its divisors is an integer number (219644460).

Almost surely, 2^11905267680 is an apocalyptic number.

11905267680 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 11905267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21085868160).

11905267680 is an abundant number, since it is smaller than the sum of its proper divisors (30266468640).

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

11905267680 is a wasteful number, since it uses less digits than its factorization.

11905267680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33310 (or 33296 counting only the distinct ones).

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

The spelling of 11905267680 in words is "eleven billion, nine hundred five million, two hundred sixty-seven thousand, six hundred eighty".