5016180400 has 480 divisors, whose sum is σ = 16056972288. Its totient is φ = 1459814400.

The previous prime is 5016180371. The next prime is 5016180409. The reversal of 5016180400 is 40816105.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5016180409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51713152 + ... + 51713248.

Almost surely, 2^5016180400 is an apocalyptic number.

5016180400 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 5016180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8028486144).

5016180400 is an abundant number, since it is smaller than the sum of its proper divisors (11040791888).

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

5016180400 is a wasteful number, since it uses less digits than its factorization.

5016180400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 5016180400 is about 70824.9984115778. The cubic root of 5016180400 is about 1711.8185002073.

Adding to 5016180400 its reverse (40816105), we get a palindrome (5056996505).

The spelling of 5016180400 in words is "five billion, sixteen million, one hundred eighty thousand, four hundred".