5195534400 has 1008 divisors, whose sum is σ = 23112520704. Its totient is φ = 1122232320.

The previous prime is 5195534389. The next prime is 5195534419. The reversal of 5195534400 is 44355915.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 62596759 + ... + 62596841.

It is an arithmetic number, because the mean of its divisors is an integer number (22929088).

Almost surely, 2^5195534400 is an apocalyptic number.

5195534400 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 5195534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11556260352).

5195534400 is an abundant number, since it is smaller than the sum of its proper divisors (17916986304).

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

5195534400 is a wasteful number, since it uses less digits than its factorization.

5195534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 5195534400 is about 72080.0554938743. The cubic root of 5195534400 is about 1731.9821356566.

The spelling of 5195534400 in words is "five billion, one hundred ninety-five million, five hundred thirty-four thousand, four hundred".