27268073280 has 280 divisors, whose sum is σ = 110854833408. Its totient is φ = 6232660992.

The previous prime is 27268073263. The next prime is 27268073309. The reversal of 27268073280 is 8237086272.

It is a tau number, because it is divible by the number of its divisors (280).

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 39 ways as a sum of consecutive naturals, for example, 106297 + ... + 256583.

Almost surely, 2^27268073280 is an apocalyptic number.

27268073280 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 27268073280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55427416704).

27268073280 is an abundant number, since it is smaller than the sum of its proper divisors (83586760128).

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

27268073280 is a wasteful number, since it uses less digits than its factorization.

27268073280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150323 (or 150304 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 27268073280 in words is "twenty-seven billion, two hundred sixty-eight million, seventy-three thousand, two hundred eighty".