275616010000 has 100 divisors (see below), whose sum is σ = 667555376400. Its totient is φ = 110203216000.

The previous prime is 275616009983. The next prime is 275616010037. The reversal of 275616010000 is 10616572.

275616010000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41386671 + ... + 41393329.

It is an arithmetic number, because the mean of its divisors is an integer number (6675553764).

Almost surely, 2^275616010000 is an apocalyptic number.

275616010000 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 275616010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333777688200).

275616010000 is an abundant number, since it is smaller than the sum of its proper divisors (391939366400).

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

275616010000 is an equidigital number, since it uses as much as digits as its factorization.

275616010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10826 (or 10805 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

Adding to 275616010000 its reverse (10616572), we get a palindrome (275626626572).

The spelling of 275616010000 in words is "two hundred seventy-five billion, six hundred sixteen million, ten thousand".