11912681456640 has 1056 divisors, whose sum is σ = 45636374784000. Its totient is φ = 2970958528512.

The previous prime is 11912681456603. The next prime is 11912681456647. The reversal of 11912681456640 is 4665418621911.

11912681456640 is a `hidden beast` number, since 1 + 1 + 9 + 1 + 2 + 68 + 14 + 566 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11912681456647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1867480971 + ... + 1867487349.

It is an arithmetic number, because the mean of its divisors is an integer number (43216264000).

Almost surely, 2^{11912681456640} is an apocalyptic number.

11912681456640 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 11912681456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22818187392000).

11912681456640 is an abundant number, since it is smaller than the sum of its proper divisors (33723693327360).

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

11912681456640 is an equidigital number, since it uses as much as digits as its factorization.

11912681456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6517 (or 6487 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 11912681456640 in words is "eleven trillion, nine hundred twelve billion, six hundred eighty-one million, four hundred fifty-six thousand, six hundred forty".