27775249920 has 960 divisors, whose sum is σ = 112460927040. Its totient is φ = 6569164800.

The previous prime is 27775249919. The next prime is 27775249967. The reversal of 27775249920 is 2994257772.

It is a happy number.

27775249920 is a `hidden beast` number, since 2 + 7 + 7 + 7 + 524 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 677445100 + ... + 677445140.

It is an arithmetic number, because the mean of its divisors is an integer number (117146799).

Almost surely, 2^27775249920 is an apocalyptic number.

27775249920 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 27775249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56230463520).

27775249920 is an abundant number, since it is smaller than the sum of its proper divisors (84685677120).

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

27775249920 is an frugal number, since it uses more digits than its factorization.

27775249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 27775249920 in words is "twenty-seven billion, seven hundred seventy-five million, two hundred forty-nine thousand, nine hundred twenty".