11681751558240 has 336 divisors, whose sum is σ = 41411664882000. Its totient is φ = 3112620327936.

The previous prime is 11681751558229. The next prime is 11681751558311. The reversal of 11681751558240 is 4285515718611.

11681751558240 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 1 + 7 + 5 + 15 + 582 + 40 = 666.

It is a super-2 number, since 2×11681751558240² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 146809986 + ... + 146889534.

It is an arithmetic number, because the mean of its divisors is an integer number (123249002625).

Almost surely, 2^{11681751558240} is an apocalyptic number.

11681751558240 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 11681751558240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20705832441000).

11681751558240 is an abundant number, since it is smaller than the sum of its proper divisors (29729913323760).

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

11681751558240 is an equidigital number, since it uses as much as digits as its factorization.

11681751558240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80841 (or 80818 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 54.

The spelling of 11681751558240 in words is "eleven trillion, six hundred eighty-one billion, seven hundred fifty-one million, five hundred fifty-eight thousand, two hundred forty".