870806652307200 has 9072 divisors, whose sum is σ = 4244503134412800. Its totient is φ = 175400283340800.

The previous prime is 870806652307127. The next prime is 870806652307259. The reversal of 870806652307200 is 2703256608078.

870806652307200 is a `hidden beast` number, since 8 + 7 + 0 + 80 + 6 + 6 + 52 + 307 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (9072).

It is a super-2 number, since 2×870806652307200² (a number of 31 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 3904962566289 + ... + 3904962566511.

Almost surely, 2^{870806652307200} is an apocalyptic number.

870806652307200 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 870806652307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122251567206400).

870806652307200 is an abundant number, since it is smaller than the sum of its proper divisors (3373696482105600).

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

870806652307200 is a wasteful number, since it uses less digits than its factorization.

870806652307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 870806652307200 in words is "eight hundred seventy trillion, eight hundred six billion, six hundred fifty-two million, three hundred seven thousand, two hundred".