870544012800 has 1920 divisors, whose sum is σ = 3780766015488. Its totient is φ = 171343872000.

The previous prime is 870544012721. The next prime is 870544012837. The reversal of 870544012800 is 8210445078.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5212838317 + ... + 5212838483.

Almost surely, 2^870544012800 is an apocalyptic number.

870544012800 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 870544012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890383007744).

870544012800 is an abundant number, since it is smaller than the sum of its proper divisors (2910222002688).

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

870544012800 is a wasteful number, since it uses less digits than its factorization.

870544012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

Adding to 870544012800 its reverse (8210445078), we get a palindrome (878754457878).

The spelling of 870544012800 in words is "eight hundred seventy billion, five hundred forty-four million, twelve thousand, eight hundred".