5319362400 has 144 divisors (see below), whose sum is σ = 18888666048. Its totient is φ = 1289536000.

The previous prime is 5319362393. The next prime is 5319362459. The reversal of 5319362400 is 42639135.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74346 + ... + 127145.

It is an arithmetic number, because the mean of its divisors is an integer number (131171292).

Almost surely, 2^5319362400 is an apocalyptic number.

5319362400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5319362400 is an abundant number, since it is smaller than the sum of its proper divisors (13569303648).

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

5319362400 is a wasteful number, since it uses less digits than its factorization.

5319362400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201525 (or 201512 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 5319362400 is about 72933.9591685519. The cubic root of 5319362400 is about 1745.6340036050.

The spelling of 5319362400 in words is "five billion, three hundred nineteen million, three hundred sixty-two thousand, four hundred".