870505203200 has 240 divisors, whose sum is σ = 2246231790000. Its totient is φ = 333917552640.

The previous prime is 870505203131. The next prime is 870505203263. The reversal of 870505203200 is 2302505078.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55300931 + ... + 55316669.

It is an arithmetic number, because the mean of its divisors is an integer number (9359299125).

Almost surely, 2^870505203200 is an apocalyptic number.

870505203200 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 870505203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123115895000).

870505203200 is an abundant number, since it is smaller than the sum of its proper divisors (1375726586800).

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

870505203200 is a wasteful number, since it uses less digits than its factorization.

870505203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15945 (or 15924 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

Adding to 870505203200 its reverse (2302505078), we get a palindrome (872807708278).

The spelling of 870505203200 in words is "eight hundred seventy billion, five hundred five million, two hundred three thousand, two hundred".