27993961195200 has 4536 divisors, whose sum is σ = 140633910353664. Its totient is φ = 5358796185600.

The previous prime is 27993961195183. The next prime is 27993961195219. The reversal of 27993961195200 is 259116939972.

27993961195200 is a `hidden beast` number, since 2 + 7 + 9 + 9 + 3 + 9 + 611 + 9 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 55653998149 + ... + 55653998651.

Almost surely, 2^{27993961195200} is an apocalyptic number.

27993961195200 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 27993961195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70316955176832).

27993961195200 is an abundant number, since it is smaller than the sum of its proper divisors (112639949158464).

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

27993961195200 is a wasteful number, since it uses less digits than its factorization.

27993961195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 63.

The spelling of 27993961195200 in words is "twenty-seven trillion, nine hundred ninety-three billion, nine hundred sixty-one million, one hundred ninety-five thousand, two hundred".