27790872520320 has 2304 divisors, whose sum is σ = 125835975982080. Its totient is φ = 5595017379840.

The previous prime is 27790872520319. The next prime is 27790872520337. The reversal of 27790872520320 is 2302527809772.

27790872520320 is a `hidden beast` number, since 2 + 7 + 7 + 9 + 0 + 87 + 2 + 520 + 32 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8303216887 + ... + 8303220233.

It is an arithmetic number, because the mean of its divisors is an integer number (54616309020).

Almost surely, 2^{27790872520320} is an apocalyptic number.

27790872520320 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 27790872520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62917987991040).

27790872520320 is an abundant number, since it is smaller than the sum of its proper divisors (98045103461760).

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

27790872520320 is a wasteful number, since it uses less digits than its factorization.

27790872520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 27790872520320 in words is "twenty-seven trillion, seven hundred ninety billion, eight hundred seventy-two million, five hundred twenty thousand, three hundred twenty".