275201512640 has 112 divisors (see below), whose sum is σ = 673342824000. Its totient is φ = 107056484352.

The previous prime is 275201512609. The next prime is 275201512643. The reversal of 275201512640 is 46215102572.

It is a self number, because there is not a number n which added to its sum of digits gives 275201512640.

It is not an unprimeable number, because it can be changed into a prime (275201512643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36451586 + ... + 36459134.

It is an arithmetic number, because the mean of its divisors is an integer number (6011989500).

Almost surely, 2^275201512640 is an apocalyptic number.

275201512640 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 275201512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336671412000).

275201512640 is an abundant number, since it is smaller than the sum of its proper divisors (398141311360).

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

275201512640 is a wasteful number, since it uses less digits than its factorization.

275201512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682 (or 10672 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 275201512640 in words is "two hundred seventy-five billion, two hundred one million, five hundred twelve thousand, six hundred forty".