5212390400 has 528 divisors, whose sum is σ = 16448054400. Its totient is φ = 1596456960.

The previous prime is 5212390373. The next prime is 5212390439. The reversal of 5212390400 is 40932125.

It is a self number, because there is not a number n which added to its sum of digits gives 5212390400.

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 47 ways as a sum of consecutive naturals, for example, 88345571 + ... + 88345629.

Almost surely, 2^5212390400 is an apocalyptic number.

5212390400 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 5212390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8224027200).

5212390400 is an abundant number, since it is smaller than the sum of its proper divisors (11235664000).

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

5212390400 is a wasteful number, since it uses less digits than its factorization.

5212390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 5212390400 is about 72196.8863594546. The cubic root of 5212390400 is about 1733.8531511286.

The spelling of 5212390400 in words is "five billion, two hundred twelve million, three hundred ninety thousand, four hundred".