11971148261760 has 1536 divisors, whose sum is σ = 44877491942400. Its totient is φ = 2935200153600.

The previous prime is 11971148261719. The next prime is 11971148261771. The reversal of 11971148261760 is 6716284117911.

11971148261760 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 1 + 14 + 8 + 2 + 617 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11971148261697 and 11971148261706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51378318604 + ... + 51378318836.

It is an arithmetic number, because the mean of its divisors is an integer number (29217117150).

Almost surely, 2^{11971148261760} is an apocalyptic number.

11971148261760 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 11971148261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22438745971200).

11971148261760 is an abundant number, since it is smaller than the sum of its proper divisors (32906343680640).

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

11971148261760 is a wasteful number, since it uses less digits than its factorization.

11971148261760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 11971148261760 in words is "eleven trillion, nine hundred seventy-one billion, one hundred forty-eight million, two hundred sixty-one thousand, seven hundred sixty".