27820074638720 has 384 divisors, whose sum is σ = 83557451244960. Its totient is φ = 8779176935424.

The previous prime is 27820074638701. The next prime is 27820074638827. The reversal of 27820074638720 is 2783647002872.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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, 141366632 + ... + 141563288.

Almost surely, 2^{27820074638720} is an apocalyptic number.

27820074638720 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 27820074638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41778725622480).

27820074638720 is an abundant number, since it is smaller than the sum of its proper divisors (55737376606240).

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

27820074638720 is a wasteful number, since it uses less digits than its factorization.

27820074638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197050 (or 197031 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 56.

The spelling of 27820074638720 in words is "twenty-seven trillion, eight hundred twenty billion, seventy-four million, six hundred thirty-eight thousand, seven hundred twenty".