27109420800 has 648 divisors, whose sum is σ = 112455385728. Its totient is φ = 5629747200.

The previous prime is 27109420783. The next prime is 27109420843. The reversal of 27109420800 is 802490172.

It is a happy number.

It is a super-2 number, since 2×27109420800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16261567 + ... + 16263233.

Almost surely, 2^27109420800 is an apocalyptic number.

27109420800 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 27109420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56227692864).

27109420800 is an abundant number, since it is smaller than the sum of its proper divisors (85345964928).

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

27109420800 is a wasteful number, since it uses less digits than its factorization.

27109420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 27109420800 in words is "twenty-seven billion, one hundred nine million, four hundred twenty thousand, eight hundred".