27872824356 has 96 divisors (see below), whose sum is σ = 78213408000. Its totient is φ = 8533071360.

The previous prime is 27872824337. The next prime is 27872824373. The reversal of 27872824356 is 65342827872.

27872824356 is a `hidden beast` number, since 2 + 7 + 8 + 7 + 282 + 4 + 356 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229516 + ... + 329276.

It is an arithmetic number, because the mean of its divisors is an integer number (814723000).

Almost surely, 2^27872824356 is an apocalyptic number.

27872824356 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 27872824356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39106704000).

27872824356 is an abundant number, since it is smaller than the sum of its proper divisors (50340583644).

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

27872824356 is a wasteful number, since it uses less digits than its factorization.

27872824356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99986 (or 99978 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 27872824356 in words is "twenty-seven billion, eight hundred seventy-two million, eight hundred twenty-four thousand, three hundred fifty-six".