27846152256 has 224 divisors, whose sum is σ = 85469626368. Its totient is φ = 7930644480.

The previous prime is 27846152227. The next prime is 27846152267. The reversal of 27846152256 is 65225164872.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1771825 + ... + 1787471.

It is an arithmetic number, because the mean of its divisors is an integer number (381560832).

Almost surely, 2^27846152256 is an apocalyptic number.

27846152256 is a gapful number since it is divisible by the number (26) 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 27846152256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42734813184).

27846152256 is an abundant number, since it is smaller than the sum of its proper divisors (57623474112).

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

27846152256 is a wasteful number, since it uses less digits than its factorization.

27846152256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15729 (or 15719 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The spelling of 27846152256 in words is "twenty-seven billion, eight hundred forty-six million, one hundred fifty-two thousand, two hundred fifty-six".