27967844876972 has 144 divisors (see below), whose sum is σ = 66931306942752. Its totient is φ = 10051873413120.

The previous prime is 27967844876941. The next prime is 27967844876981.

27967844876972 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43206218 + ... + 43848750.

It is an arithmetic number, because the mean of its divisors is an integer number (464800742658).

Almost surely, 2^{27967844876972} is an apocalyptic number.

27967844876972 is a gapful number since it is divisible by the number (22) 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 27967844876972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33465653471376).

27967844876972 is an abundant number, since it is smaller than the sum of its proper divisors (38963462065780).

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

27967844876972 is a wasteful number, since it uses less digits than its factorization.

27967844876972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644128 (or 644119 counting only the distinct ones).

The product of its digits is 28677390336, while the sum is 86.

The spelling of 27967844876972 in words is "twenty-seven trillion, nine hundred sixty-seven billion, eight hundred forty-four million, eight hundred seventy-six thousand, nine hundred seventy-two".