11971497507840 has 792 divisors, whose sum is σ = 44999409630240. Its totient is φ = 2941441671168.

The previous prime is 11971497507833. The next prime is 11971497507847. The reversal of 11971497507840 is 4870579417911.

11971497507840 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 1 + 49 + 7 + 507 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11971497507833) and next prime (11971497507847).

It is a super-2 number, since 2×11971497507840² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11971497507847) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5786126326 + ... + 5786128394.

Almost surely, 2^{11971497507840} is an apocalyptic number.

11971497507840 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 11971497507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22499704815120).

11971497507840 is an abundant number, since it is smaller than the sum of its proper divisors (33027912122400).

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

11971497507840 is a wasteful number, since it uses less digits than its factorization.

11971497507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 63.

The spelling of 11971497507840 in words is "eleven trillion, nine hundred seventy-one billion, four hundred ninety-seven million, five hundred seven thousand, eight hundred forty".