11810106262080 has 1792 divisors, whose sum is σ = 52500897792000. Its totient is φ = 2439612628992.

The previous prime is 11810106262067. The next prime is 11810106262093. The reversal of 11810106262080 is 8026260101811.

11810106262080 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 0 + 1 + 0 + 626 + 20 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11810106262067) and next prime (11810106262093).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1895984406 + ... + 1895990634.

It is an arithmetic number, because the mean of its divisors is an integer number (29297376000).

Almost surely, 2^{11810106262080} is an apocalyptic number.

11810106262080 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 11810106262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26250448896000).

11810106262080 is an abundant number, since it is smaller than the sum of its proper divisors (40690791529920).

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

11810106262080 is a wasteful number, since it uses less digits than its factorization.

11810106262080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6361 (or 6345 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Adding to 11810106262080 its reverse (8026260101811), we get a palindrome (19836366363891).

The spelling of 11810106262080 in words is "eleven trillion, eight hundred ten billion, one hundred six million, two hundred sixty-two thousand, eighty".