27949619728800 has 1296 divisors, whose sum is σ = 123960717631296. Its totient is φ = 5800531968000.

The previous prime is 27949619728799. The next prime is 27949619728819. The reversal of 27949619728800 is 882791694972.

27949619728800 is a `hidden beast` number, since 2 + 79 + 4 + 96 + 197 + 288 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5958134455 + ... + 5958139145.

It is an arithmetic number, because the mean of its divisors is an integer number (95648701876).

Almost surely, 2^{27949619728800} is an apocalyptic number.

27949619728800 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 27949619728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61980358815648).

27949619728800 is an abundant number, since it is smaller than the sum of its proper divisors (96011097902496).

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

27949619728800 is a wasteful number, since it uses less digits than its factorization.

27949619728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5723 (or 5696 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 27949619728800 in words is "twenty-seven trillion, nine hundred forty-nine billion, six hundred nineteen million, seven hundred twenty-eight thousand, eight hundred".