869994216000 has 1344 divisors, whose sum is σ = 3999291528960. Its totient is φ = 183530188800.

The previous prime is 869994215911. The next prime is 869994216041. The reversal of 869994216000 is 612499968.

869994216000 is a `hidden beast` number, since 8 + 6 + 9 + 9 + 9 + 4 + 21 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137588839 + ... + 137595161.

It is an arithmetic number, because the mean of its divisors is an integer number (2975663340).

Almost surely, 2^869994216000 is an apocalyptic number.

869994216000 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 869994216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999645764480).

869994216000 is an abundant number, since it is smaller than the sum of its proper divisors (3129297312960).

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

869994216000 is a wasteful number, since it uses less digits than its factorization.

869994216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6386 (or 6353 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 869994216000 in words is "eight hundred sixty-nine billion, nine hundred ninety-four million, two hundred sixteen thousand".