11871812756790 has 512 divisors, whose sum is σ = 38835359539200. Its totient is φ = 2550422992896.

The previous prime is 11871812756789. The next prime is 11871812756833. The reversal of 11871812756790 is 9765721817811.

11871812756790 is a `hidden beast` number, since 1 + 187 + 181 + 275 + 6 + 7 + 9 + 0 = 666.

It is a super-2 number, since 2×11871812756790² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2183519952 + ... + 2183525388.

It is an arithmetic number, because the mean of its divisors is an integer number (75850311600).

Almost surely, 2^{11871812756790} is an apocalyptic number.

11871812756790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11871812756790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19417679769600).

11871812756790 is an abundant number, since it is smaller than the sum of its proper divisors (26963546782410).

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

11871812756790 is an equidigital number, since it uses as much as digits as its factorization.

11871812756790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6328 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 63.

The spelling of 11871812756790 in words is "eleven trillion, eight hundred seventy-one billion, eight hundred twelve million, seven hundred fifty-six thousand, seven hundred ninety".