869081875200 has 3456 divisors, whose sum is σ = 4282392576000. Its totient is φ = 170698752000.

The previous prime is 869081875183. The next prime is 869081875229. The reversal of 869081875200 is 2578180968.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×869081875200² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20211206379 + ... + 20211206421.

Almost surely, 2^869081875200 is an apocalyptic number.

869081875200 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 869081875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141196288000).

869081875200 is an abundant number, since it is smaller than the sum of its proper divisors (3413310700800).

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

869081875200 is a wasteful number, since it uses less digits than its factorization.

869081875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 869081875200 in words is "eight hundred sixty-nine billion, eighty-one million, eight hundred seventy-five thousand, two hundred".