5853012480 has 320 divisors, whose sum is σ = 23762407680. Its totient is φ = 1337720832.

The previous prime is 5853012439. The next prime is 5853012497. The reversal of 5853012480 is 842103585.

It is a happy number.

5853012480 is a `hidden beast` number, since 585 + 30 + 1 + 2 + 48 + 0 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 477792 + ... + 489888.

It is an arithmetic number, because the mean of its divisors is an integer number (74257524).

Almost surely, 2^5853012480 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 5853012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11881203840).

5853012480 is an abundant number, since it is smaller than the sum of its proper divisors (17909395200).

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

5853012480 is a wasteful number, since it uses less digits than its factorization.

5853012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12136 (or 12114 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5853012480 is about 76504.9833670984. The cubic root of 5853012480 is about 1802.1591866937.

The spelling of 5853012480 in words is "five billion, eight hundred fifty-three million, twelve thousand, four hundred eighty".