870438912000 has 960 divisors, whose sum is σ = 3406241319936. Its totient is φ = 193226342400.

The previous prime is 870438911921. The next prime is 870438912029. The reversal of 870438912000 is 219834078.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1591295727 + ... + 1591296273.

Almost surely, 2^870438912000 is an apocalyptic number.

870438912000 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 870438912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703120659968).

870438912000 is an abundant number, since it is smaller than the sum of its proper divisors (2535802407936).

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

870438912000 is an equidigital number, since it uses as much as digits as its factorization.

870438912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 870438912000 in words is "eight hundred seventy billion, four hundred thirty-eight million, nine hundred twelve thousand".