5180400600 has 192 divisors, whose sum is σ = 16606080000. Its totient is φ = 1335206400.

The previous prime is 5180400593. The next prime is 5180400601. The reversal of 5180400600 is 60040815.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5180400601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2158201 + ... + 2160599.

It is an arithmetic number, because the mean of its divisors is an integer number (86490000).

Almost surely, 2^5180400600 is an apocalyptic number.

5180400600 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 5180400600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303040000).

5180400600 is an abundant number, since it is smaller than the sum of its proper divisors (11425679400).

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

5180400600 is a wasteful number, since it uses less digits than its factorization.

5180400600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5180400600 is about 71974.9998263286. Note that the first 3 decimals coincide. The cubic root of 5180400600 is about 1730.2988335170.

The spelling of 5180400600 in words is "five billion, one hundred eighty million, four hundred thousand, six hundred".