5684718170880 has 1152 divisors, whose sum is σ = 23686465904640. Its totient is φ = 1264006840320.

The previous prime is 5684718170851. The next prime is 5684718170917. The reversal of 5684718170880 is 880718174865.

5684718170880 is a `hidden beast` number, since 5 + 6 + 8 + 471 + 81 + 7 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2943923515 + ... + 2943925445.

It is an arithmetic number, because the mean of its divisors is an integer number (20561168320).

Almost surely, 2^{5684718170880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5684718170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11843232952320).

5684718170880 is an abundant number, since it is smaller than the sum of its proper divisors (18001747733760).

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

5684718170880 is a wasteful number, since it uses less digits than its factorization.

5684718170880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 63.

The spelling of 5684718170880 in words is "five trillion, six hundred eighty-four billion, seven hundred eighteen million, one hundred seventy thousand, eight hundred eighty".