27821750880 has 768 divisors, whose sum is σ = 114594600960. Its totient is φ = 5505024000.

The previous prime is 27821750867. The next prime is 27821750903. The reversal of 27821750880 is 8805712872.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 108255712 + ... + 108255968.

It is an arithmetic number, because the mean of its divisors is an integer number (149211720).

Almost surely, 2^27821750880 is an apocalyptic number.

27821750880 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 27821750880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57297300480).

27821750880 is an abundant number, since it is smaller than the sum of its proper divisors (86772850080).

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

27821750880 is a wasteful number, since it uses less digits than its factorization.

27821750880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 48.

The spelling of 27821750880 in words is "twenty-seven billion, eight hundred twenty-one million, seven hundred fifty thousand, eight hundred eighty".