11971105136640 has 1120 divisors, whose sum is σ = 46396246293936. Its totient is φ = 2935341711360.

The previous prime is 11971105136587. The next prime is 11971105136707. The reversal of 11971105136640 is 4663150117911.

11971105136640 is a `hidden beast` number, since 1 + 1 + 9 + 71 + 1 + 0 + 513 + 6 + 64 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3072195661824 + 8898909474816 = 1752768^2 + 2983104^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18675670720 + ... + 18675671360.

Almost surely, 2^{11971105136640} is an apocalyptic number.

11971105136640 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 11971105136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23198123146968).

11971105136640 is an abundant number, since it is smaller than the sum of its proper divisors (34425141157296).

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

11971105136640 is an equidigital number, since it uses as much as digits as its factorization.

11971105136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 11971105136640 in words is "eleven trillion, nine hundred seventy-one billion, one hundred five million, one hundred thirty-six thousand, six hundred forty".