5156403200 has 288 divisors, whose sum is σ = 14104097280. Its totient is φ = 1857945600.

The previous prime is 5156403199. The next prime is 5156403211. The reversal of 5156403200 is 23046515.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 5156403200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40601537 + ... + 40601663.

It is an arithmetic number, because the mean of its divisors is an integer number (48972560).

Almost surely, 2^5156403200 is an apocalyptic number.

5156403200 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 5156403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052048640).

5156403200 is an abundant number, since it is smaller than the sum of its proper divisors (8947694080).

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

5156403200 is a wasteful number, since it uses less digits than its factorization.

5156403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 5156403200 is about 71808.0998216775. The cubic root of 5156403200 is about 1727.6229172621.

Adding to 5156403200 its reverse (23046515), we get a palindrome (5179449715).

The spelling of 5156403200 in words is "five billion, one hundred fifty-six million, four hundred three thousand, two hundred".