27126137280 has 224 divisors, whose sum is σ = 94117655808. Its totient is φ = 6564659200.

The previous prime is 27126137267. The next prime is 27126137327. The reversal of 27126137280 is 8273162172.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7210600 + ... + 7214360.

Almost surely, 2^27126137280 is an apocalyptic number.

27126137280 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 27126137280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47058827904).

27126137280 is an abundant number, since it is smaller than the sum of its proper divisors (66991518528).

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

27126137280 is a wasteful number, since it uses less digits than its factorization.

27126137280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4475 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 27126137280 in words is "twenty-seven billion, one hundred twenty-six million, one hundred thirty-seven thousand, two hundred eighty".