27072553885440 has 576 divisors, whose sum is σ = 99812780153856. Its totient is φ = 6125654900736.

The previous prime is 27072553885357. The next prime is 27072553885441. The reversal of 27072553885440 is 4458835527072.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27072553885441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2663829799 + ... + 2663839961.

It is an arithmetic number, because the mean of its divisors is an integer number (173286076656).

Almost surely, 2^{27072553885440} is an apocalyptic number.

27072553885440 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 27072553885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49906390076928).

27072553885440 is an abundant number, since it is smaller than the sum of its proper divisors (72740226268416).

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

27072553885440 is a wasteful number, since it uses less digits than its factorization.

27072553885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11184 (or 11170 counting only the distinct ones).

The product of its (nonzero) digits is 75264000, while the sum is 60.

The spelling of 27072553885440 in words is "twenty-seven trillion, seventy-two billion, five hundred fifty-three million, eight hundred eighty-five thousand, four hundred forty".