5812909660800 has 1920 divisors, whose sum is σ = 25362839620800. Its totient is φ = 1294988083200.

The previous prime is 5812909660781. The next prime is 5812909660801. The reversal of 5812909660800 is 80669092185.

It is a happy number.

5812909660800 is a `hidden beast` number, since 5 + 8 + 1 + 29 + 0 + 9 + 6 + 608 + 0 + 0 = 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 (54).

It is not an unprimeable number, because it can be changed into a prime (5812909660801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2084225806 + ... + 2084228594.

Almost surely, 2^{5812909660800} is an apocalyptic number.

5812909660800 is a gapful number since it is divisible by the number (50) 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 5812909660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12681419810400).

5812909660800 is an abundant number, since it is smaller than the sum of its proper divisors (19549929960000).

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

5812909660800 is a wasteful number, since it uses less digits than its factorization.

5812909660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 5812909660800 in words is "five trillion, eight hundred twelve billion, nine hundred nine million, six hundred sixty thousand, eight hundred".