11862601105152 has 288 divisors, whose sum is σ = 37003328538624. Its totient is φ = 3302962790400.

The previous prime is 11862601105141. The next prime is 11862601105169. The reversal of 11862601105152 is 25150110626811.

It is a self number, because there is not a number n which added to its sum of digits gives 11862601105152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200769438 + ... + 200828514.

It is an arithmetic number, because the mean of its divisors is an integer number (128483779648).

Almost surely, 2^{11862601105152} is an apocalyptic number.

11862601105152 is a gapful number since it is divisible by the number (12) 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 11862601105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18501664269312).

11862601105152 is an abundant number, since it is smaller than the sum of its proper divisors (25140727433472).

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

11862601105152 is an equidigital number, since it uses as much as digits as its factorization.

11862601105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60055 (or 60041 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 39.

The spelling of 11862601105152 in words is "eleven trillion, eight hundred sixty-two billion, six hundred one million, one hundred five thousand, one hundred fifty-two".