867825433104 has 160 divisors (see below), whose sum is σ = 2599969591296. Its totient is φ = 244294955520.

The previous prime is 867825433091. The next prime is 867825433109. The reversal of 867825433104 is 401334528768.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (867825433109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38325274 + ... + 38347910.

Almost surely, 2^867825433104 is an apocalyptic number.

867825433104 is a gapful number since it is divisible by the number (84) 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 867825433104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299984795648).

867825433104 is an abundant number, since it is smaller than the sum of its proper divisors (1732144158192).

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

867825433104 is a wasteful number, since it uses less digits than its factorization.

867825433104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24333 (or 24327 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 867825433104 in words is "eight hundred sixty-seven billion, eight hundred twenty-five million, four hundred thirty-three thousand, one hundred four".