869028117460800 has 672 divisors, whose sum is σ = 3129613345926144. Its totient is φ = 209367932928000.

The previous prime is 869028117460793. The next prime is 869028117460813. The reversal of 869028117460800 is 8064711820968.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65188510135 + ... + 65188523465.

It is an arithmetic number, because the mean of its divisors is an integer number (4657162717152).

Almost surely, 2^{869028117460800} is an apocalyptic number.

869028117460800 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 869028117460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564806672963072).

869028117460800 is an abundant number, since it is smaller than the sum of its proper divisors (2260585228465344).

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

869028117460800 is a wasteful number, since it uses less digits than its factorization.

869028117460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20927 (or 20912 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 869028117460800 in words is "eight hundred sixty-nine trillion, twenty-eight billion, one hundred seventeen million, four hundred sixty thousand, eight hundred".