27256350720 has 192 divisors, whose sum is σ = 90015045120. Its totient is φ = 7033651200.

The previous prime is 27256350701. The next prime is 27256350739. The reversal of 27256350720 is 2705365272.

It is an interprime number because it is at equal distance from previous prime (27256350701) and next prime (27256350739).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 938010 + ... + 966630.

It is an arithmetic number, because the mean of its divisors is an integer number (468828360).

Almost surely, 2^27256350720 is an apocalyptic number.

27256350720 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 27256350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45007522560).

27256350720 is an abundant number, since it is smaller than the sum of its proper divisors (62758694400).

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

27256350720 is a wasteful number, since it uses less digits than its factorization.

27256350720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28682 (or 28662 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The spelling of 27256350720 in words is "twenty-seven billion, two hundred fifty-six million, three hundred fifty thousand, seven hundred twenty".