869430088800 has 3456 divisors, whose sum is σ = 4299474816000. Its totient is φ = 169723330560.

The previous prime is 869430088799. The next prime is 869430088829. The reversal of 869430088800 is 8880034968.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 14736103171 + ... + 14736103229.

It is an arithmetic number, because the mean of its divisors is an integer number (1244061000).

Almost surely, 2^869430088800 is an apocalyptic number.

869430088800 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 869430088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149737408000).

869430088800 is an abundant number, since it is smaller than the sum of its proper divisors (3430044727200).

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

869430088800 is a wasteful number, since it uses less digits than its factorization.

869430088800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 106 counting only the distinct ones).

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

The spelling of 869430088800 in words is "eight hundred sixty-nine billion, four hundred thirty million, eighty-eight thousand, eight hundred".