27876406272 has 704 divisors, whose sum is σ = 95080366080. Its totient is φ = 7136870400.

The previous prime is 27876406253. The next prime is 27876406277. The reversal of 27876406272 is 27260467872.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27876406277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313218004 + ... + 313218092.

Almost surely, 2^27876406272 is an apocalyptic number.

27876406272 is a gapful number since it is divisible by the number (22) 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 27876406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47540183040).

27876406272 is an abundant number, since it is smaller than the sum of its proper divisors (67203959808).

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

27876406272 is a wasteful number, since it uses less digits than its factorization.

27876406272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 51.

The spelling of 27876406272 in words is "twenty-seven billion, eight hundred seventy-six million, four hundred six thousand, two hundred seventy-two".