27996119424000 has 4224 divisors, whose sum is σ = 132061511312640. Its totient is φ = 5869250150400.

The previous prime is 27996119423983. The next prime is 27996119424037. The reversal of 27996119424000 is 42491169972.

27996119424000 is a `hidden beast` number, since 2 + 7 + 99 + 61 + 1 + 94 + 2 + 400 + 0 = 666.

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

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 178319231922 + ... + 178319232078.

Almost surely, 2^{27996119424000} is an apocalyptic number.

27996119424000 is a gapful number since it is divisible by the number (20) 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 27996119424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66030755656320).

27996119424000 is an abundant number, since it is smaller than the sum of its proper divisors (104065391888640).

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

27996119424000 is an equidigital number, since it uses as much as digits as its factorization.

27996119424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 27996119424000 in words is "twenty-seven trillion, nine hundred ninety-six billion, one hundred nineteen million, four hundred twenty-four thousand".