27862761520 has 160 divisors (see below), whose sum is σ = 73498777920. Its totient is φ = 9730129920.

The previous prime is 27862761469. The next prime is 27862761539. The reversal of 27862761520 is 2516726872.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4922532 + ... + 4928188.

It is an arithmetic number, because the mean of its divisors is an integer number (459367362).

Almost surely, 2^27862761520 is an apocalyptic number.

27862761520 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 27862761520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36749388960).

27862761520 is an abundant number, since it is smaller than the sum of its proper divisors (45636016400).

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

27862761520 is a wasteful number, since it uses less digits than its factorization.

27862761520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5903 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 27862761520 in words is "twenty-seven billion, eight hundred sixty-two million, seven hundred sixty-one thousand, five hundred twenty".