275201216640 has 1728 divisors, whose sum is σ = 1214646577560. Its totient is φ = 57187565568.

The previous prime is 275201216639. The next prime is 275201216663. The reversal of 275201216640 is 46612102572.

It is a happy number.

275201216640 is a `hidden beast` number, since 2 + 7 + 5 + 2 + 0 + 1 + 2 + 1 + 6 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 264105543744 + 11095672896 = 513912^2 + 105336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 275201216595 and 275201216604.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3769879644 + ... + 3769879716.

Almost surely, 2^275201216640 is an apocalyptic number.

275201216640 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 275201216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607323288780).

275201216640 is an abundant number, since it is smaller than the sum of its proper divisors (939445360920).

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

275201216640 is a wasteful number, since it uses less digits than its factorization.

275201216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 275201216640 in words is "two hundred seventy-five billion, two hundred one million, two hundred sixteen thousand, six hundred forty".