6863859025920 has 672 divisors, whose sum is σ = 26592368002200. Its totient is φ = 1689541410816.

The previous prime is 6863859025883. The next prime is 6863859025939. The reversal of 6863859025920 is 295209583686.

6863859025920 is a `hidden beast` number, since 6 + 8 + 6 + 38 + 5 + 9 + 0 + 2 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4729267897344 + 2134591128576 = 2174688^2 + 1461024^2 .

It is a super-2 number, since 2×6863859025920² (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 55 ways as a sum of consecutive naturals, for example, 97009116 + ... + 97079844.

Almost surely, 2^{6863859025920} is an apocalyptic number.

6863859025920 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 6863859025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13296184001100).

6863859025920 is an abundant number, since it is smaller than the sum of its proper divisors (19728508976280).

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

6863859025920 is an equidigital number, since it uses as much as digits as its factorization.

6863859025920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70787 (or 70752 counting only the distinct ones).

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

The spelling of 6863859025920 in words is "six trillion, eight hundred sixty-three billion, eight hundred fifty-nine million, twenty-five thousand, nine hundred twenty".