5105632000 has 288 divisors, whose sum is σ = 15183028224. Its totient is φ = 1672704000.

The previous prime is 5105631983. The next prime is 5105632001. The reversal of 5105632000 is 2365015.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5105632001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5151505 + ... + 5152495.

It is an arithmetic number, because the mean of its divisors is an integer number (52718848).

Almost surely, 2^5105632000 is an apocalyptic number.

5105632000 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 5105632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7591514112).

5105632000 is an abundant number, since it is smaller than the sum of its proper divisors (10077396224).

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

5105632000 is an equidigital number, since it uses as much as digits as its factorization.

5105632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 5105632000 is about 71453.7052923080. The cubic root of 5105632000 is about 1721.9340062651.

Adding to 5105632000 its reverse (2365015), we get a palindrome (5107997015).

The spelling of 5105632000 in words is "five billion, one hundred five million, six hundred thirty-two thousand".