876008021280000 has 540 divisors, whose sum is σ = 3389046737519520. Its totient is φ = 200230399488000.

The previous prime is 876008021279981. The next prime is 876008021280037. The reversal of 876008021280000 is 82120800678.

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 59 ways as a sum of consecutive naturals, for example, 4897381 + ... + 42142619.

It is an arithmetic number, because the mean of its divisors is an integer number (6276012476888).

Almost surely, 2^{876008021280000} is an apocalyptic number.

876008021280000 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 876008021280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694523368759760).

876008021280000 is an abundant number, since it is smaller than the sum of its proper divisors (2513038716239520).

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

876008021280000 is an equidigital number, since it uses as much as digits as its factorization.

876008021280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37245292 (or 37245256 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 876008021280000 in words is "eight hundred seventy-six trillion, eight billion, twenty-one million, two hundred eighty thousand".