27200272960 has 224 divisors, whose sum is σ = 77173604352. Its totient is φ = 8935004160.

The previous prime is 27200272921. The next prime is 27200272973. The reversal of 27200272960 is 6927200272.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7150419 + ... + 7154221.

Almost surely, 2^27200272960 is an apocalyptic number.

27200272960 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 27200272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38586802176).

27200272960 is an abundant number, since it is smaller than the sum of its proper divisors (49973331392).

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

27200272960 is a wasteful number, since it uses less digits than its factorization.

27200272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The spelling of 27200272960 in words is "twenty-seven billion, two hundred million, two hundred seventy-two thousand, nine hundred sixty".