275997934080 has 480 divisors, whose sum is σ = 1049159599488. Its totient is φ = 66497740800.

The previous prime is 275997934073. The next prime is 275997934097. The reversal of 275997934080 is 80439799572.

275997934080 is a `hidden beast` number, since 2 + 7 + 59 + 97 + 93 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 275997933999 and 275997934017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42321220 + ... + 42327740.

Almost surely, 2^275997934080 is an apocalyptic number.

275997934080 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 275997934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524579799744).

275997934080 is an abundant number, since it is smaller than the sum of its proper divisors (773161665408).

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

275997934080 is a wasteful number, since it uses less digits than its factorization.

275997934080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6728 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 275997934080 in words is "two hundred seventy-five billion, nine hundred ninety-seven million, nine hundred thirty-four thousand, eighty".