5909904000 has 1536 divisors, whose sum is σ = 29191518720. Its totient is φ = 1105920000.

The previous prime is 5909903971. The next prime is 5909904023. The reversal of 5909904000 is 4099095.

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 191 ways as a sum of consecutive naturals, for example, 144143980 + ... + 144144020.

It is an arithmetic number, because the mean of its divisors is an integer number (19004895).

Almost surely, 2^5909904000 is an apocalyptic number.

5909904000 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 5909904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14595759360).

5909904000 is an abundant number, since it is smaller than the sum of its proper divisors (23281614720).

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

5909904000 is a wasteful number, since it uses less digits than its factorization.

5909904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 5909904000 is about 76875.8999947318. The cubic root of 5909904000 is about 1807.9793899548.

It can be divided in two parts, 5909 and 904000, that added together give a palindrome (909909).

The spelling of 5909904000 in words is "five billion, nine hundred nine million, nine hundred four thousand".