5006388400 has 180 divisors, whose sum is σ = 13450002240. Its totient is φ = 1788134400.

The previous prime is 5006388389. The next prime is 5006388461. The reversal of 5006388400 is 48836005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2094406 + ... + 2096794.

Almost surely, 2^5006388400 is an apocalyptic number.

5006388400 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 5006388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6725001120).

5006388400 is an abundant number, since it is smaller than the sum of its proper divisors (8443613840).

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

5006388400 is a wasteful number, since it uses less digits than its factorization.

5006388400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 5006388400 is about 70755.8365083758. The cubic root of 5006388400 is about 1710.7039040883.

The spelling of 5006388400 in words is "five billion, six million, three hundred eighty-eight thousand, four hundred".