27435796080 has 640 divisors, whose sum is σ = 110968897536. Its totient is φ = 5441126400.

The previous prime is 27435796061. The next prime is 27435796093. The reversal of 27435796080 is 8069753472.

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, 47548752 + ... + 47549328.

Almost surely, 2^27435796080 is an apocalyptic number.

27435796080 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 27435796080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55484448768).

27435796080 is an abundant number, since it is smaller than the sum of its proper divisors (83533101456).

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

27435796080 is a wasteful number, since it uses less digits than its factorization.

27435796080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 27435796080 in words is "twenty-seven billion, four hundred thirty-five million, seven hundred ninety-six thousand, eighty".