869539968000 has 1408 divisors, whose sum is σ = 3559146739200. Its totient is φ = 207618048000.

The previous prime is 869539967971. The next prime is 869539968007. The reversal of 869539968000 is 869935968.

869539968000 is a `hidden beast` number, since 8 + 6 + 9 + 539 + 96 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869539968007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3383423872 + ... + 3383424128.

Almost surely, 2^869539968000 is an apocalyptic number.

869539968000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 869539968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779573369600).

869539968000 is an abundant number, since it is smaller than the sum of its proper divisors (2689606771200).

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

869539968000 is a wasteful number, since it uses less digits than its factorization.

869539968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 869539968000 in words is "eight hundred sixty-nine billion, five hundred thirty-nine million, nine hundred sixty-eight thousand".