27900089280 has 896 divisors, whose sum is σ = 121350389760. Its totient is φ = 5894000640.

The previous prime is 27900089251. The next prime is 27900089299. The reversal of 27900089280 is 8298000972.

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 127 ways as a sum of consecutive naturals, for example, 43121917 + ... + 43122563.

Almost surely, 2^27900089280 is an apocalyptic number.

27900089280 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 27900089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60675194880).

27900089280 is an abundant number, since it is smaller than the sum of its proper divisors (93450300480).

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

27900089280 is a wasteful number, since it uses less digits than its factorization.

27900089280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

It can be divided in two parts, 279000892 and 80, that added together give a palindrome (279000972).

The spelling of 27900089280 in words is "twenty-seven billion, nine hundred million, eighty-nine thousand, two hundred eighty".