5689336872960 has 1920 divisors, whose sum is σ = 23495606184960. Its totient is φ = 1293724680192.

The previous prime is 5689336872917. The next prime is 5689336872979. The reversal of 5689336872960 is 692786339865.

5689336872960 is a `hidden beast` number, since 56 + 8 + 93 + 368 + 72 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 50348113864 + ... + 50348113976.

It is an arithmetic number, because the mean of its divisors is an integer number (12237294888).

Almost surely, 2^{5689336872960} 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 5689336872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11747803092480).

5689336872960 is an abundant number, since it is smaller than the sum of its proper divisors (17806269312000).

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

5689336872960 is a wasteful number, since it uses less digits than its factorization.

5689336872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 5689336872960 in words is "five trillion, six hundred eighty-nine billion, three hundred thirty-six million, eight hundred seventy-two thousand, nine hundred sixty".