870820003152 has 240 divisors, whose sum is σ = 2732140756800. Its totient is φ = 256630425600.

The previous prime is 870820002931. The next prime is 870820003181. The reversal of 870820003152 is 251300028078.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20566099 + ... + 20608397.

It is an arithmetic number, because the mean of its divisors is an integer number (11383919820).

Almost surely, 2^870820003152 is an apocalyptic number.

870820003152 is a gapful number since it is divisible by the number (82) 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 870820003152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366070378400).

870820003152 is an abundant number, since it is smaller than the sum of its proper divisors (1861320753648).

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

870820003152 is a wasteful number, since it uses less digits than its factorization.

870820003152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42682 (or 42673 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 870820003152 in words is "eight hundred seventy billion, eight hundred twenty million, three thousand, one hundred fifty-two".