869543700480 has 3072 divisors, whose sum is σ = 4279661568000. Its totient is φ = 162055323648.

The previous prime is 869543700451. The next prime is 869543700491. The reversal of 869543700480 is 84007345968.

869543700480 is a `hidden beast` number, since 8 + 6 + 95 + 4 + 3 + 70 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×869543700480² (a number of 25 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 8126576587 + ... + 8126576693.

It is an arithmetic number, because the mean of its divisors is an integer number (1393119000).

Almost surely, 2^869543700480 is an apocalyptic number.

869543700480 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 869543700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139830784000).

869543700480 is an abundant number, since it is smaller than the sum of its proper divisors (3410117867520).

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

869543700480 is a wasteful number, since it uses less digits than its factorization.

869543700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 869543700480 in words is "eight hundred sixty-nine billion, five hundred forty-three million, seven hundred thousand, four hundred eighty".