27979522730880 has 512 divisors, whose sum is σ = 109906767129600. Its totient is φ = 5910947758080.

The previous prime is 27979522730869. The next prime is 27979522730881. The reversal of 27979522730880 is 8803722597972.

It is a super-2 number, since 2×27979522730880² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27979522730881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9133554 + ... + 11805966.

It is an arithmetic number, because the mean of its divisors is an integer number (214661654550).

Almost surely, 2^{27979522730880} is an apocalyptic number.

27979522730880 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 27979522730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54953383564800).

27979522730880 is an abundant number, since it is smaller than the sum of its proper divisors (81927244398720).

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

27979522730880 is a wasteful number, since it uses less digits than its factorization.

27979522730880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672502 (or 2672490 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 69.

The spelling of 27979522730880 in words is "twenty-seven trillion, nine hundred seventy-nine billion, five hundred twenty-two million, seven hundred thirty thousand, eight hundred eighty".