5914788480 has 320 divisors, whose sum is σ = 21433610880. Its totient is φ = 1554094080.

The previous prime is 5914788449. The next prime is 5914788487. The reversal of 5914788480 is 848874195.

5914788480 is a `hidden beast` number, since 5 + 91 + 4 + 78 + 8 + 480 = 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 (54).

It is not an unprimeable number, because it can be changed into a prime (5914788487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3679837 + ... + 3681443.

It is an arithmetic number, because the mean of its divisors is an integer number (66980034).

Almost surely, 2^5914788480 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 5914788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10716805440).

5914788480 is an abundant number, since it is smaller than the sum of its proper divisors (15518822400).

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

5914788480 is a wasteful number, since it uses less digits than its factorization.

5914788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The square root of 5914788480 is about 76907.6620370168. The cubic root of 5914788480 is about 1808.4773454413.

The spelling of 5914788480 in words is "five billion, nine hundred fourteen million, seven hundred eighty-eight thousand, four hundred eighty".