870099867000 has 2048 divisors, whose sum is σ = 3940005888000. Its totient is φ = 172623052800.

The previous prime is 870099866963. The next prime is 870099867011. The reversal of 870099867000 is 768990078.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 5029478914 + ... + 5029479086.

It is an arithmetic number, because the mean of its divisors is an integer number (1923831000).

Almost surely, 2^870099867000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870099867000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970002944000).

870099867000 is an abundant number, since it is smaller than the sum of its proper divisors (3069906021000).

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

870099867000 is a wasteful number, since it uses less digits than its factorization.

870099867000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 870099867000 in words is "eight hundred seventy billion, ninety-nine million, eight hundred sixty-seven thousand".