27072298720320 has 896 divisors, whose sum is σ = 105509669437440. Its totient is φ = 5748204994560.

The previous prime is 27072298720283. The next prime is 27072298720333. The reversal of 27072298720320 is 2302789227072.

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, 1045128489 + ... + 1045154391.

Almost surely, 2^{27072298720320} is an apocalyptic number.

27072298720320 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 27072298720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52754834718720).

27072298720320 is an abundant number, since it is smaller than the sum of its proper divisors (78437370717120).

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

27072298720320 is a wasteful number, since it uses less digits than its factorization.

27072298720320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26163 (or 26153 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 27072298720320 in words is "twenty-seven trillion, seventy-two billion, two hundred ninety-eight million, seven hundred twenty thousand, three hundred twenty".