275420087040 has 288 divisors, whose sum is σ = 1012044902400. Its totient is φ = 62529748992.

The previous prime is 275420087027. The next prime is 275420087053. The reversal of 275420087040 is 40780024572.

275420087040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (275420087027) and next prime (275420087053).

It is a self number, because there is not a number n which added to its sum of digits gives 275420087040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3970737 + ... + 4039503.

It is an arithmetic number, because the mean of its divisors is an integer number (3514044800).

Almost surely, 2^275420087040 is an apocalyptic number.

275420087040 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 275420087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506022451200).

275420087040 is an abundant number, since it is smaller than the sum of its proper divisors (736624815360).

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

275420087040 is a wasteful number, since it uses less digits than its factorization.

275420087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68947 (or 68933 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The spelling of 275420087040 in words is "two hundred seventy-five billion, four hundred twenty million, eighty-seven thousand, forty".