6859494259200 has 2160 divisors, whose sum is σ = 28424793196800. Its totient is φ = 1576329216000.

The previous prime is 6859494259199. The next prime is 6859494259213. The reversal of 6859494259200 is 29524949586.

6859494259200 is a `hidden beast` number, since 6 + 8 + 5 + 94 + 94 + 259 + 200 = 666.

It is a super-2 number, since 2×6859494259200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 28700812681 + ... + 28700812919.

It is an arithmetic number, because the mean of its divisors is an integer number (13159626480).

Almost surely, 2^{6859494259200} is an apocalyptic number.

6859494259200 is a gapful number since it is divisible by the number (60) 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 6859494259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14212396598400).

6859494259200 is an abundant number, since it is smaller than the sum of its proper divisors (21565298937600).

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

6859494259200 is a wasteful number, since it uses less digits than its factorization.

6859494259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 6859494259200 in words is "six trillion, eight hundred fifty-nine billion, four hundred ninety-four million, two hundred fifty-nine thousand, two hundred".