5145638400 has 600 divisors, whose sum is σ = 21795710640. Its totient is φ = 1174487040.

The previous prime is 5145638383. The next prime is 5145638413. The reversal of 5145638400 is 48365415.

It is a happy number.

5145638400 is a `hidden beast` number, since 5 + 14 + 5 + 638 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7257246 + ... + 7257954.

Almost surely, 2^5145638400 is an apocalyptic number.

5145638400 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 5145638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10897855320).

5145638400 is an abundant number, since it is smaller than the sum of its proper divisors (16650072240).

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

5145638400 is an equidigital number, since it uses as much as digits as its factorization.

5145638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5145638400 is about 71733.1053280143. The cubic root of 5145638400 is about 1726.4198517898.

It can be divided in two parts, 5145 and 638400, that added together give a triangular number (643545 = T₁₁₃₄).

The spelling of 5145638400 in words is "five billion, one hundred forty-five million, six hundred thirty-eight thousand, four hundred".