827169916440 has 256 divisors, whose sum is σ = 2986670592000. Its totient is φ = 179032757760.

The previous prime is 827169916429. The next prime is 827169916457. The reversal of 827169916440 is 44619961728.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37830231 + ... + 37852089.

It is an arithmetic number, because the mean of its divisors is an integer number (11666682000).

Almost surely, 2^827169916440 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 827169916440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493335296000).

827169916440 is an abundant number, since it is smaller than the sum of its proper divisors (2159500675560).

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

827169916440 is a wasteful number, since it uses less digits than its factorization.

827169916440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24270 (or 24266 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 827169916440 in words is "eight hundred twenty-seven billion, one hundred sixty-nine million, nine hundred sixteen thousand, four hundred forty".