827683805455416 has 3840 divisors, whose sum is σ = 3228605446348800. Its totient is φ = 195006254284800.

The previous prime is 827683805455393. The next prime is 827683805455459. The reversal of 827683805455416 is 614554508386728.

827683805455416 is a `hidden beast` number, since 8 + 2 + 7 + 6 + 8 + 3 + 8 + 0 + 54 + 554 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 4288517126616 + ... + 4288517126808.

It is an arithmetic number, because the mean of its divisors is an integer number (840782668320).

Almost surely, 2^{827683805455416} 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 827683805455416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614302723174400).

827683805455416 is an abundant number, since it is smaller than the sum of its proper divisors (2400921640893384).

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

827683805455416 is a wasteful number, since it uses less digits than its factorization.

827683805455416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1548288000, while the sum is 72.

The spelling of 827683805455416 in words is "eight hundred twenty-seven trillion, six hundred eighty-three billion, eight hundred five million, four hundred fifty-five thousand, four hundred sixteen".