27121946880 has 864 divisors, whose sum is σ = 109219259520. Its totient is φ = 5697699840.

The previous prime is 27121946851. The next prime is 27121946911. The reversal of 27121946880 is 8864912172.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195121851 + ... + 195121989.

It is an arithmetic number, because the mean of its divisors is an integer number (126411180).

Almost surely, 2^27121946880 is an apocalyptic number.

27121946880 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 27121946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54609629760).

27121946880 is an abundant number, since it is smaller than the sum of its proper divisors (82097312640).

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

27121946880 is a wasteful number, since it uses less digits than its factorization.

27121946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 27121946880 in words is "twenty-seven billion, one hundred twenty-one million, nine hundred forty-six thousand, eight hundred eighty".