5812145280 has 320 divisors, whose sum is σ = 20900436480. Its totient is φ = 1539164160.

The previous prime is 5812145257. The next prime is 5812145309. The reversal of 5812145280 is 825412185.

5812145280 is a `hidden beast` number, since 5 + 8 + 121 + 4 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9901147 + ... + 9901733.

It is an arithmetic number, because the mean of its divisors is an integer number (65313864).

Almost surely, 2^5812145280 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 5812145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10450218240).

5812145280 is an abundant number, since it is smaller than the sum of its proper divisors (15088291200).

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

5812145280 is a wasteful number, since it uses less digits than its factorization.

5812145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5812145280 is about 76237.4270289862. The cubic root of 5812145280 is about 1797.9550108907.

The spelling of 5812145280 in words is "five billion, eight hundred twelve million, one hundred forty-five thousand, two hundred eighty".