27830956800 has 864 divisors, whose sum is σ = 105113272320. Its totient is φ = 6447513600.

The previous prime is 27830956787. The next prime is 27830956801. The reversal of 27830956800 is 865903872.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27830956800.

It is not an unprimeable number, because it can be changed into a prime (27830956801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 260102347 + ... + 260102453.

It is an arithmetic number, because the mean of its divisors is an integer number (121658880).

Almost surely, 2^27830956800 is an apocalyptic number.

27830956800 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 27830956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52556636160).

27830956800 is an abundant number, since it is smaller than the sum of its proper divisors (77282315520).

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

27830956800 is a wasteful number, since it uses less digits than its factorization.

27830956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 27830956800 in words is "twenty-seven billion, eight hundred thirty million, nine hundred fifty-six thousand, eight hundred".