5848550400 has 1056 divisors, whose sum is σ = 25732067328. Its totient is φ = 1135411200.

The previous prime is 5848550369. The next prime is 5848550401. The reversal of 5848550400 is 40558485.

It is a tau number, because it is divible by the number of its divisors (1056).

It is not an unprimeable number, because it can be changed into a prime (5848550401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136012779 + ... + 136012821.

It is an arithmetic number, because the mean of its divisors is an integer number (24367488).

Almost surely, 2^5848550400 is an apocalyptic number.

5848550400 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 5848550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12866033664).

5848550400 is an abundant number, since it is smaller than the sum of its proper divisors (19883516928).

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

5848550400 is a wasteful number, since it uses less digits than its factorization.

5848550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 39.

The square root of 5848550400 is about 76475.8157851226. The cubic root of 5848550400 is about 1801.7011078940.

The spelling of 5848550400 in words is "five billion, eight hundred forty-eight million, five hundred fifty thousand, four hundred".