27900841339920 has 320 divisors, whose sum is σ = 92732853288960. Its totient is φ = 6918699110400.

The previous prime is 27900841339897. The next prime is 27900841339981. The reversal of 27900841339920 is 2993314800972.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85688625 + ... + 86013615.

It is an arithmetic number, because the mean of its divisors is an integer number (289790166528).

Almost surely, 2^{27900841339920} is an apocalyptic number.

27900841339920 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 27900841339920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46366426644480).

27900841339920 is an abundant number, since it is smaller than the sum of its proper divisors (64832011949040).

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

27900841339920 is a wasteful number, since it uses less digits than its factorization.

27900841339920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325374 (or 325368 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 27900841339920 in words is "twenty-seven trillion, nine hundred billion, eight hundred forty-one million, three hundred thirty-nine thousand, nine hundred twenty".