27993572880 has 640 divisors, whose sum is σ = 111352872960. Its totient is φ = 5658992640.

The previous prime is 27993572861. The next prime is 27993572881. The reversal of 27993572880 is 8827539972.

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

It is not an unprimeable number, because it can be changed into a prime (27993572881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117127801 + ... + 117128039.

It is an arithmetic number, because the mean of its divisors is an integer number (173988864).

Almost surely, 2^27993572880 is an apocalyptic number.

27993572880 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 27993572880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55676436480).

27993572880 is an abundant number, since it is smaller than the sum of its proper divisors (83359300080).

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

27993572880 is a wasteful number, since it uses less digits than its factorization.

27993572880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 27993572880 in words is "twenty-seven billion, nine hundred ninety-three million, five hundred seventy-two thousand, eight hundred eighty".