11995279994880 has 2288 divisors, whose sum is σ = 53629066666560. Its totient is φ = 2507653251072.

The previous prime is 11995279994849. The next prime is 11995279994897. The reversal of 11995279994880 is 8849997259911.

11995279994880 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 527 + 9 + 9 + 9 + 4 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 11995279994880.

It is an unprimeable number.

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 175 ways as a sum of consecutive naturals, for example, 110048440266 + ... + 110048440374.

Almost surely, 2^{11995279994880} is an apocalyptic number.

11995279994880 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 11995279994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26814533333280).

11995279994880 is an abundant number, since it is smaller than the sum of its proper divisors (41633786671680).

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

11995279994880 is an frugal number, since it uses more digits than its factorization.

11995279994880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 81.

The spelling of 11995279994880 in words is "eleven trillion, nine hundred ninety-five billion, two hundred seventy-nine million, nine hundred ninety-four thousand, eight hundred eighty".