870534604800 has 1440 divisors, whose sum is σ = 3727771407360. Its totient is φ = 196676812800.

The previous prime is 870534604721. The next prime is 870534604897. The reversal of 870534604800 is 8406435078.

870534604800 is a `hidden beast` number, since 8 + 7 + 0 + 5 + 34 + 604 + 8 + 0 + 0 = 666.

870534604800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4557772705 + ... + 4557772895.

It is an arithmetic number, because the mean of its divisors is an integer number (2588730144).

Almost surely, 2^870534604800 is an apocalyptic number.

870534604800 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 870534604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863885703680).

870534604800 is an abundant number, since it is smaller than the sum of its proper divisors (2857236802560).

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

870534604800 is a wasteful number, since it uses less digits than its factorization.

870534604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 870534604800 in words is "eight hundred seventy billion, five hundred thirty-four million, six hundred four thousand, eight hundred".