27980709120000 has 5760 divisors, whose sum is σ = 137204100633600. Its totient is φ = 5573836800000.

The previous prime is 27980709119989. The next prime is 27980709120019. The reversal of 27980709120000 is 2190708972.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 682456319980 + ... + 682456320020.

It is an arithmetic number, because the mean of its divisors is an integer number (23820156360).

Almost surely, 2^{27980709120000} is an apocalyptic number.

27980709120000 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 27980709120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68602050316800).

27980709120000 is an abundant number, since it is smaller than the sum of its proper divisors (109223391513600).

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

27980709120000 is a wasteful number, since it uses less digits than its factorization.

27980709120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

Adding to 27980709120000 its reverse (2190708972), we get a palindrome (27982899828972).

The spelling of 27980709120000 in words is "twenty-seven trillion, nine hundred eighty billion, seven hundred nine million, one hundred twenty thousand".