27906581920 has 288 divisors, whose sum is σ = 79702963200. Its totient is φ = 9196830720.

The previous prime is 27906581909. The next prime is 27906581953. The reversal of 27906581920 is 2918560972.

It is a Harshad number since it is a multiple of its sum of digits (49).

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 47 ways as a sum of consecutive naturals, for example, 48364672 + ... + 48365248.

It is an arithmetic number, because the mean of its divisors is an integer number (276746400).

Almost surely, 2^27906581920 is an apocalyptic number.

27906581920 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 27906581920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39851481600).

27906581920 is an abundant number, since it is smaller than the sum of its proper divisors (51796381280).

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

27906581920 is a wasteful number, since it uses less digits than its factorization.

27906581920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

The spelling of 27906581920 in words is "twenty-seven billion, nine hundred six million, five hundred eighty-one thousand, nine hundred twenty".