5875346810880 has 1536 divisors, whose sum is σ = 22970787840000. Its totient is φ = 1418939596800.

The previous prime is 5875346810867. The next prime is 5875346810891. The reversal of 5875346810880 is 880186435785.

5875346810880 is a `hidden beast` number, since 5 + 8 + 7 + 534 + 6 + 8 + 10 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×5875346810880³ (a number of 39 digits) contains 333 as substring.

It is a zygodrome in base 4.

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, 17750292315 + ... + 17750292645.

It is an arithmetic number, because the mean of its divisors is an integer number (14954940000).

Almost surely, 2^{5875346810880} 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 5875346810880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11485393920000).

5875346810880 is an abundant number, since it is smaller than the sum of its proper divisors (17095441029120).

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

5875346810880 is a wasteful number, since it uses less digits than its factorization.

5875346810880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 5875346810880 in words is "five trillion, eight hundred seventy-five billion, three hundred forty-six million, eight hundred ten thousand, eight hundred eighty".