869028128640 has 3072 divisors, whose sum is σ = 4086507110400. Its totient is φ = 165542952960.

The previous prime is 869028128627. The next prime is 869028128641. The reversal of 869028128640 is 46821820968.

869028128640 is a `hidden beast` number, since 86 + 9 + 0 + 281 + 286 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869028128641) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20209956459 + ... + 20209956501.

It is an arithmetic number, because the mean of its divisors is an integer number (1330243200).

Almost surely, 2^869028128640 is an apocalyptic number.

869028128640 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 869028128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043253555200).

869028128640 is an abundant number, since it is smaller than the sum of its proper divisors (3217478981760).

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

869028128640 is a wasteful number, since it uses less digits than its factorization.

869028128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 869028128640 in words is "eight hundred sixty-nine billion, twenty-eight million, one hundred twenty-eight thousand, six hundred forty".