5851812960 has 576 divisors, whose sum is σ = 24022462464. Its totient is φ = 1269043200.

The previous prime is 5851812919. The next prime is 5851812961. The reversal of 5851812960 is 692181585.

It is a happy number.

5851812960 is a `hidden beast` number, since 5 + 8 + 518 + 129 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5851812961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19061127 + ... + 19061433.

It is an arithmetic number, because the mean of its divisors is an integer number (41705664).

Almost surely, 2^5851812960 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 5851812960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12011231232).

5851812960 is an abundant number, since it is smaller than the sum of its proper divisors (18170649504).

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

5851812960 is a wasteful number, since it uses less digits than its factorization.

5851812960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 5851812960 is about 76497.1434760802. The cubic root of 5851812960 is about 1802.0360664095.

The spelling of 5851812960 in words is "five billion, eight hundred fifty-one million, eight hundred twelve thousand, nine hundred sixty".