870883228800 has 1512 divisors, whose sum is σ = 3568655990115. Its totient is φ = 209810165760.

The previous prime is 870883228783. The next prime is 870883228867. The reversal of 870883228800 is 8822388078.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 54520382016 + 816362846784 = 233496^2 + 903528^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=659880.

It is a super-2 number, since 2×870883228800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 188 ways as a sum of consecutive naturals, for example, 18529430377 + ... + 18529430423.

Almost surely, 2^870883228800 is an apocalyptic number.

870883228800 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 870883228800

870883228800 is an abundant number, since it is smaller than the sum of its proper divisors (2697772761315).

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

870883228800 is an equidigital number, since it uses as much as digits as its factorization.

870883228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 870883228800 in words is "eight hundred seventy billion, eight hundred eighty-three million, two hundred twenty-eight thousand, eight hundred".