5398876800 has 576 divisors, whose sum is σ = 20510249760. Its totient is φ = 1401753600.

The previous prime is 5398876799. The next prime is 5398876831. The reversal of 5398876800 is 86788935.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41212735 + ... + 41212865.

Almost surely, 2^5398876800 is an apocalyptic number.

5398876800 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 5398876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10255124880).

5398876800 is an abundant number, since it is smaller than the sum of its proper divisors (15111372960).

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

5398876800 is a wasteful number, since it uses less digits than its factorization.

5398876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 5398876800 is about 73477.0494780513. The cubic root of 5398876800 is about 1754.2889953552.

The spelling of 5398876800 in words is "five billion, three hundred ninety-eight million, eight hundred seventy-six thousand, eight hundred".