275101068480 has 336 divisors, whose sum is σ = 1025931928320. Its totient is φ = 62268659712.

The previous prime is 275101068397. The next prime is 275101068491. The reversal of 275101068480 is 84860101572.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4816731 + ... + 4873509.

Almost surely, 2^275101068480 is an apocalyptic number.

275101068480 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 275101068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512965964160).

275101068480 is an abundant number, since it is smaller than the sum of its proper divisors (750830859840).

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

275101068480 is a wasteful number, since it uses less digits than its factorization.

275101068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56916 (or 56899 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 275101068480 in words is "two hundred seventy-five billion, one hundred one million, sixty-eight thousand, four hundred eighty".