5196822400 has 576 divisors, whose sum is σ = 17129439360. Its totient is φ = 1537536000.

The previous prime is 5196822353. The next prime is 5196822437. The reversal of 5196822400 is 42286915.

It is a self number, because there is not a number n which added to its sum of digits gives 5196822400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39670335 + ... + 39670465.

It is an arithmetic number, because the mean of its divisors is an integer number (29738610).

Almost surely, 2^5196822400 is an apocalyptic number.

5196822400 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 5196822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8564719680).

5196822400 is an abundant number, since it is smaller than the sum of its proper divisors (11932616960).

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

5196822400 is a wasteful number, since it uses less digits than its factorization.

5196822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 5196822400 is about 72088.9894505395. The cubic root of 5196822400 is about 1732.1252462911.

The spelling of 5196822400 in words is "five billion, one hundred ninety-six million, eight hundred twenty-two thousand, four hundred".