275087841920 has 192 divisors, whose sum is σ = 709780874040. Its totient is φ = 101597184000.

The previous prime is 275087841893. The next prime is 275087841961. The reversal of 275087841920 is 29148780572.

It can be written as a sum of positive squares in 12 ways, for example, as 68732060224 + 206355781696 = 262168^2 + 454264^2 .

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30557420 + ... + 30566420.

Almost surely, 2^275087841920 is an apocalyptic number.

275087841920 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 275087841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354890437020).

275087841920 is an abundant number, since it is smaller than the sum of its proper divisors (434693032120).

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

275087841920 is an equidigital number, since it uses as much as digits as its factorization.

275087841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9143 (or 9078 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 53.

The spelling of 275087841920 in words is "two hundred seventy-five billion, eighty-seven million, eight hundred forty-one thousand, nine hundred twenty".