6860119845600 has 720 divisors, whose sum is σ = 28678461710976. Its totient is φ = 1563255936000.

The previous prime is 6860119845599. The next prime is 6860119845613. The reversal of 6860119845600 is 65489110686.

6860119845600 is a `hidden beast` number, since 6 + 8 + 60 + 1 + 19 + 8 + 4 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×6860119845600² (a number of 26 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 119 ways as a sum of consecutive naturals, for example, 150118755 + ... + 150164445.

Almost surely, 2^{6860119845600} is an apocalyptic number.

6860119845600 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 6860119845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14339230855488).

6860119845600 is an abundant number, since it is smaller than the sum of its proper divisors (21818341865376).

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

6860119845600 is a wasteful number, since it uses less digits than its factorization.

6860119845600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46061 (or 46039 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 6860119845600 in words is "six trillion, eight hundred sixty billion, one hundred nineteen million, eight hundred forty-five thousand, six hundred".