5206100400 has 360 divisors, whose sum is σ = 19261807344. Its totient is φ = 1297612800.

The previous prime is 5206100363. The next prime is 5206100411. The reversal of 5206100400 is 40016025.

It is a happy number.

5206100400 is a `hidden beast` number, since 52 + 0 + 610 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 15728235 + ... + 15728565.

Almost surely, 2^5206100400 is an apocalyptic number.

5206100400 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 5206100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9630903672).

5206100400 is an abundant number, since it is smaller than the sum of its proper divisors (14055706944).

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

5206100400 is a wasteful number, since it uses less digits than its factorization.

5206100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5206100400 is about 72153.3117743046. The cubic root of 5206100400 is about 1733.1554337473.

Adding to 5206100400 its reverse (40016025), we get a palindrome (5246116425).

The spelling of 5206100400 in words is "five billion, two hundred six million, one hundred thousand, four hundred".