27892021248000 has 3840 divisors, whose sum is σ = 133004367175680. Its totient is φ = 5605687296000.

The previous prime is 27892021247989. The next prime is 27892021248017. The reversal of 27892021248000 is 84212029872.

It is a happy number.

27892021248000 is a `hidden beast` number, since 2 + 78 + 92 + 0 + 2 + 12 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 115734527880 + ... + 115734528120.

It is an arithmetic number, because the mean of its divisors is an integer number (34636553952).

Almost surely, 2^{27892021248000} is an apocalyptic number.

27892021248000 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 27892021248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66502183587840).

27892021248000 is an abundant number, since it is smaller than the sum of its proper divisors (105112345927680).

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

27892021248000 is a wasteful number, since it uses less digits than its factorization.

27892021248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 27892021248000 in words is "twenty-seven trillion, eight hundred ninety-two billion, twenty-one million, two hundred forty-eight thousand".