27906977280 has 640 divisors, whose sum is σ = 111510862848. Its totient is φ = 5796790272.

The previous prime is 27906977261. The next prime is 27906977321. The reversal of 27906977280 is 8277960972.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 27906977280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51017967 + ... + 51018513.

Almost surely, 2^27906977280 is an apocalyptic number.

27906977280 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 27906977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55755431424).

27906977280 is an abundant number, since it is smaller than the sum of its proper divisors (83603885568).

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

27906977280 is a wasteful number, since it uses less digits than its factorization.

27906977280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The spelling of 27906977280 in words is "twenty-seven billion, nine hundred six million, nine hundred seventy-seven thousand, two hundred eighty".