2527275883968 has 168 divisors, whose sum is σ = 7952861320560. Its totient is φ = 760962908160.

The previous prime is 2527275883949. The next prime is 2527275883969. The reversal of 2527275883968 is 8693885727252.

It is a happy number.

2527275883968 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 2 + 7 + 588 + 39 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2527275883896 and 2527275883905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2527275883969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275553 + ... + 2265056.

Almost surely, 2^{2527275883968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2527275883968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976430660280).

2527275883968 is an abundant number, since it is smaller than the sum of its proper divisors (5425585436592).

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

2527275883968 is a wasteful number, since it uses less digits than its factorization.

2527275883968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540795 (or 2540782 counting only the distinct ones).

The product of its digits is 812851200, while the sum is 72.

The spelling of 2527275883968 in words is "two trillion, five hundred twenty-seven billion, two hundred seventy-five million, eight hundred eighty-three thousand, nine hundred sixty-eight".