870876021120 has 1024 divisors, whose sum is σ = 3356365455360. Its totient is φ = 187935621120.

The previous prime is 870876021109. The next prime is 870876021133. The reversal of 870876021120 is 21120678078.

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 127 ways as a sum of consecutive naturals, for example, 4559560225 + ... + 4559560415.

It is an arithmetic number, because the mean of its divisors is an integer number (3277700640).

Almost surely, 2^870876021120 is an apocalyptic number.

870876021120 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 870876021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678182727680).

870876021120 is an abundant number, since it is smaller than the sum of its proper divisors (2485489434240).

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

870876021120 is a wasteful number, since it uses less digits than its factorization.

870876021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

Adding to 870876021120 its reverse (21120678078), we get a palindrome (891996699198).

The spelling of 870876021120 in words is "eight hundred seventy billion, eight hundred seventy-six million, twenty-one thousand, one hundred twenty".