11861263218960 has 240 divisors, whose sum is σ = 41503344330240. Its totient is φ = 3032363335680.

The previous prime is 11861263218949. The next prime is 11861263218967. The reversal of 11861263218960 is 6981236216811.

It is a happy number.

11861263218960 is a `hidden beast` number, since 1 + 1 + 8 + 612 + 6 + 3 + 2 + 18 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 11861263218897 and 11861263218906.

It is not an unprimeable number, because it can be changed into a prime (11861263218967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95025 + ... + 4871504.

It is an arithmetic number, because the mean of its divisors is an integer number (172930601376).

Almost surely, 2^{11861263218960} is an apocalyptic number.

11861263218960 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 11861263218960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20751672165120).

11861263218960 is an abundant number, since it is smaller than the sum of its proper divisors (29642081111280).

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

11861263218960 is a wasteful number, since it uses less digits than its factorization.

11861263218960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966686 (or 4966677 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 11861263218960 in words is "eleven trillion, eight hundred sixty-one billion, two hundred sixty-three million, two hundred eighteen thousand, nine hundred sixty".