27894222720 has 1152 divisors, whose sum is σ = 124790178240. Its totient is φ = 5804752896.

The previous prime is 27894222709. The next prime is 27894222751. The reversal of 27894222720 is 2722249872.

27894222720 is a `hidden beast` number, since 278 + 94 + 22 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×27894222720² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 382112604 + ... + 382112676.

Almost surely, 2^27894222720 is an apocalyptic number.

27894222720 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 27894222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62395089120).

27894222720 is an abundant number, since it is smaller than the sum of its proper divisors (96895955520).

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

27894222720 is an frugal number, since it uses more digits than its factorization.

27894222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 27894222720 in words is "twenty-seven billion, eight hundred ninety-four million, two hundred twenty-two thousand, seven hundred twenty".