5033162400 has 432 divisors, whose sum is σ = 19264766976. Its totient is φ = 1137991680.

The previous prime is 5033162389. The next prime is 5033162417. The reversal of 5033162400 is 42613305.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 14935032 + ... + 14935368.

It is an arithmetic number, because the mean of its divisors is an integer number (44594368).

Almost surely, 2^5033162400 is an apocalyptic number.

5033162400 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 5033162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9632383488).

5033162400 is an abundant number, since it is smaller than the sum of its proper divisors (14231604576).

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

5033162400 is a wasteful number, since it uses less digits than its factorization.

5033162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 5033162400 is about 70944.7841634605. The cubic root of 5033162400 is about 1713.7480798173.

Adding to 5033162400 its reverse (42613305), we get a palindrome (5075775705).

The spelling of 5033162400 in words is "five billion, thirty-three million, one hundred sixty-two thousand, four hundred".