869308416000 has 960 divisors, whose sum is σ = 3271457280000. Its totient is φ = 227731046400.

The previous prime is 869308415953. The next prime is 869308416007. The reversal of 869308416000 is 614803968.

869308416000 is a `hidden beast` number, since 8 + 6 + 9 + 30 + 8 + 4 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869308416007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4368383901 + ... + 4368384099.

It is an arithmetic number, because the mean of its divisors is an integer number (3407768000).

Almost surely, 2^869308416000 is an apocalyptic number.

869308416000 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 869308416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635728640000).

869308416000 is an abundant number, since it is smaller than the sum of its proper divisors (2402148864000).

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

869308416000 is an equidigital number, since it uses as much as digits as its factorization.

869308416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 869308416000 in words is "eight hundred sixty-nine billion, three hundred eight million, four hundred sixteen thousand".