275113968033408 has 512 divisors, whose sum is σ = 882526746816000. Its totient is φ = 75856502292480.

The previous prime is 275113968033407. The next prime is 275113968033431. The reversal of 275113968033408 is 804330869311572.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (275113968033407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425501860 + ... + 426147932.

It is an arithmetic number, because the mean of its divisors is an integer number (1723685052375).

It is a 1-persistent number, because it is pandigital, but 2⋅275113968033408 = 550227936066816 is not.

Almost surely, 2^{275113968033408} is an apocalyptic number.

275113968033408 is a gapful number since it is divisible by the number (28) 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 275113968033408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441263373408000).

275113968033408 is an abundant number, since it is smaller than the sum of its proper divisors (607412778782592).

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

275113968033408 is an equidigital number, since it uses as much as digits as its factorization.

275113968033408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646225 (or 646199 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 275113968033408 in words is "two hundred seventy-five trillion, one hundred thirteen billion, nine hundred sixty-eight million, thirty-three thousand, four hundred eight".