275053083040 has 192 divisors, whose sum is σ = 695747918880. Its totient is φ = 102393446400.

The previous prime is 275053083037. The next prime is 275053083043. The reversal of 275053083040 is 40380350572.

It is an interprime number because it is at equal distance from previous prime (275053083037) and next prime (275053083043).

It can be written as a sum of positive squares in 16 ways, for example, as 8669099664 + 266383983376 = 93108^2 + 516124^2 .

It is not an unprimeable number, because it can be changed into a prime (275053083043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184722616 + ... + 184724104.

Almost surely, 2^275053083040 is an apocalyptic number.

275053083040 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 275053083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347873959440).

275053083040 is an abundant number, since it is smaller than the sum of its proper divisors (420694835840).

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

275053083040 is a wasteful number, since it uses less digits than its factorization.

275053083040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 275053083040 in words is "two hundred seventy-five billion, fifty-three million, eighty-three thousand, forty".