827869883257440 has 72 divisors (see below), whose sum is σ = 2825105976620928. Its totient is φ = 220765302201600.

The previous prime is 827869883257379. The next prime is 827869883257507. The reversal of 827869883257440 is 44752388968728.

827869883257440 is a `hidden beast` number, since 8 + 2 + 7 + 8 + 6 + 9 + 8 + 8 + 32 + 574 + 4 + 0 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 827869883257440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 287454819136 + ... + 287454822015.

It is an arithmetic number, because the mean of its divisors is an integer number (39237583008624).

Almost surely, 2^{827869883257440} is an apocalyptic number.

827869883257440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

827869883257440 is an abundant number, since it is smaller than the sum of its proper divisors (1997236093363488).

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

827869883257440 is a wasteful number, since it uses less digits than its factorization.

827869883257440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574909641172 (or 574909641161 counting only the distinct ones).

The product of its (nonzero) digits is 10404495360, while the sum is 81.

The spelling of 827869883257440 in words is "eight hundred twenty-seven trillion, eight hundred sixty-nine billion, eight hundred eighty-three million, two hundred fifty-seven thousand, four hundred forty".