827527482720 has 72 divisors (see below), whose sum is σ = 2823937539696. Its totient is φ = 220673995008.

The previous prime is 827527482709. The next prime is 827527482721. The reversal of 827527482720 is 27284725728.

827527482720 is a `hidden beast` number, since 8 + 2 + 7 + 527 + 48 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827527482721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 287334492 + ... + 287337371.

It is an arithmetic number, because the mean of its divisors is an integer number (39221354718).

Almost surely, 2^827527482720 is an apocalyptic number.

827527482720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

827527482720 is an abundant number, since it is smaller than the sum of its proper divisors (1996410056976).

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

827527482720 is a wasteful number, since it uses less digits than its factorization.

827527482720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574671884 (or 574671873 counting only the distinct ones).

The product of its (nonzero) digits is 7024640, while the sum is 54.

The spelling of 827527482720 in words is "eight hundred twenty-seven billion, five hundred twenty-seven million, four hundred eighty-two thousand, seven hundred twenty".