27812139264 has 864 divisors, whose sum is σ = 108745378560. Its totient is φ = 6903595008.

The previous prime is 27812139263. The next prime is 27812139331. The reversal of 27812139264 is 46293121872.

It is a tau number, because it is divible by the number of its divisors (864).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (290304) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27812139263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1636008184 + ... + 1636008200.

Almost surely, 2^27812139264 is an apocalyptic number.

27812139264 is a gapful number since it is divisible by the number (24) 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 27812139264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54372689280).

27812139264 is an abundant number, since it is smaller than the sum of its proper divisors (80933239296).

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

27812139264 is an frugal number, since it uses more digits than its factorization.

27812139264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 42 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 27812139264 in words is "twenty-seven billion, eight hundred twelve million, one hundred thirty-nine thousand, two hundred sixty-four".