27970532404080 has 480 divisors, whose sum is σ = 101340511292160. Its totient is φ = 6363173376000.

The previous prime is 27970532404079. The next prime is 27970532404081. The reversal of 27970532404080 is 8040423507972.

It is an interprime number because it is at equal distance from previous prime (27970532404079) and next prime (27970532404081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27970532404081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5629003836 + ... + 5629008804.

It is an arithmetic number, because the mean of its divisors is an integer number (211126065192).

Almost surely, 2^{27970532404080} is an apocalyptic number.

27970532404080 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 27970532404080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50670255646080).

27970532404080 is an abundant number, since it is smaller than the sum of its proper divisors (73369978888080).

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

27970532404080 is a wasteful number, since it uses less digits than its factorization.

27970532404080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7157 (or 7144 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 27970532404080 in words is "twenty-seven trillion, nine hundred seventy billion, five hundred thirty-two million, four hundred four thousand, eighty".