27956827080 has 1024 divisors, whose sum is σ = 125846784000. Its totient is φ = 5350883328.

The previous prime is 27956827057. The next prime is 27956827091. The reversal of 27956827080 is 8072865972.

It is a happy number.

27956827080 is a `hidden beast` number, since 2 + 7 + 9 + 568 + 2 + 70 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48451752 + ... + 48452328.

It is an arithmetic number, because the mean of its divisors is an integer number (122897250).

Almost surely, 2^27956827080 is an apocalyptic number.

27956827080 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 27956827080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62923392000).

27956827080 is an abundant number, since it is smaller than the sum of its proper divisors (97889956920).

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

27956827080 is a wasteful number, since it uses less digits than its factorization.

27956827080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 27956827080 in words is "twenty-seven billion, nine hundred fifty-six million, eight hundred twenty-seven thousand, eighty".