5002564400 has 120 divisors (see below), whose sum is σ = 12701806080. Its totient is φ = 1889521920.

The previous prime is 5002564387. The next prime is 5002564429. The reversal of 5002564400 is 44652005.

It is a super-2 number, since 2×5002564400² = 50051301152294720000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5002564400.

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 23 ways as a sum of consecutive naturals, for example, 723359 + ... + 730241.

It is an arithmetic number, because the mean of its divisors is an integer number (105848384).

Almost surely, 2^5002564400 is an apocalyptic number.

5002564400 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 5002564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350903040).

5002564400 is an abundant number, since it is smaller than the sum of its proper divisors (7699241680).

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

5002564400 is a wasteful number, since it uses less digits than its factorization.

5002564400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7003 (or 6992 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 5002564400 is about 70728.8088405283. The cubic root of 5002564400 is about 1710.2682342008.

The spelling of 5002564400 in words is "five billion, two million, five hundred sixty-four thousand, four hundred".