870030201600 has 1620 divisors, whose sum is σ = 3779313717816. Its totient is φ = 198010552320.

The previous prime is 870030201569. The next prime is 870030201647. The reversal of 870030201600 is 6102030078.

870030201600 is a `hidden beast` number, since 8 + 7 + 0 + 0 + 30 + 20 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-5 number, since 5×870030201600⁵ (a number of 61 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3734035084 + ... + 3734035316.

Almost surely, 2^870030201600 is an apocalyptic number.

870030201600 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 870030201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889656858908).

870030201600 is an abundant number, since it is smaller than the sum of its proper divisors (2909283516216).

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

870030201600 is an frugal number, since it uses more digits than its factorization.

870030201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 870030201600 its reverse (6102030078), we get a palindrome (876132231678).

The spelling of 870030201600 in words is "eight hundred seventy billion, thirty million, two hundred one thousand, six hundred".