5121002400 has 144 divisors (see below), whose sum is σ = 16737241248. Its totient is φ = 1360000000.

The previous prime is 5121002387. The next prime is 5121002401. The reversal of 5121002400 is 42001215.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5121002400.

It is not an unprimeable number, because it can be changed into a prime (5121002401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598150 + ... + 606650.

It is an arithmetic number, because the mean of its divisors is an integer number (116230842).

Almost surely, 2^5121002400 is an apocalyptic number.

5121002400 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 5121002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8368620624).

5121002400 is an abundant number, since it is smaller than the sum of its proper divisors (11616238848).

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

5121002400 is a wasteful number, since it uses less digits than its factorization.

5121002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8775 (or 8762 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 5121002400 is about 71561.1794201297. The cubic root of 5121002400 is about 1723.6602241303.

Adding to 5121002400 its reverse (42001215), we get a palindrome (5163003615).

The spelling of 5121002400 in words is "five billion, one hundred twenty-one million, two thousand, four hundred".