27978736196424 has 512 divisors, whose sum is σ = 80060966092800. Its totient is φ = 8088477696000.

The previous prime is 27978736196419. The next prime is 27978736196429. The reversal of 27978736196424 is 42469163787972.

It is an interprime number because it is at equal distance from previous prime (27978736196419) and next prime (27978736196429).

It is not an unprimeable number, because it can be changed into a prime (27978736196429) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18015927232 + ... + 18015928784.

It is an arithmetic number, because the mean of its divisors is an integer number (156369074400).

Almost surely, 2^{27978736196424} is an apocalyptic number.

27978736196424 is a gapful number since it is divisible by the number (24) 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 27978736196424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40030483046400).

27978736196424 is an abundant number, since it is smaller than the sum of its proper divisors (52082229896376).

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

27978736196424 is a wasteful number, since it uses less digits than its factorization.

27978736196424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2033 counting only the distinct ones).

The product of its digits is 1536288768, while the sum is 75.

The spelling of 27978736196424 in words is "twenty-seven trillion, nine hundred seventy-eight billion, seven hundred thirty-six million, one hundred ninety-six thousand, four hundred twenty-four".