5153366400 has 768 divisors, whose sum is σ = 22183580160. Its totient is φ = 1020395520.

The previous prime is 5153366369. The next prime is 5153366411. The reversal of 5153366400 is 46633515.

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 95 ways as a sum of consecutive naturals, for example, 14851027 + ... + 14851373.

It is an arithmetic number, because the mean of its divisors is an integer number (28884870).

Almost surely, 2^5153366400 is an apocalyptic number.

5153366400 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 5153366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11091790080).

5153366400 is an abundant number, since it is smaller than the sum of its proper divisors (17030213760).

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

5153366400 is a wasteful number, since it uses less digits than its factorization.

5153366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 5153366400 is about 71786.9514605544. The cubic root of 5153366400 is about 1727.2836965978.

Adding to 5153366400 its reverse (46633515), we get a palindrome (5199999915).

The spelling of 5153366400 in words is "five billion, one hundred fifty-three million, three hundred sixty-six thousand, four hundred".