5016038400 has 660 divisors, whose sum is σ = 19349308440. Its totient is φ = 1282867200.

The previous prime is 5016038381. The next prime is 5016038429. The reversal of 5016038400 is 48306105.

5016038400 is a `hidden beast` number, since 50 + 1 + 603 + 8 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 85017571 + ... + 85017629.

It is an arithmetic number, because the mean of its divisors is an integer number (29317134).

Almost surely, 2^5016038400 is an apocalyptic number.

5016038400 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 5016038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9674654220).

5016038400 is an abundant number, since it is smaller than the sum of its proper divisors (14333270040).

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

5016038400 is a wasteful number, since it uses less digits than its factorization.

5016038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5016038400 is about 70823.9959335817. The cubic root of 5016038400 is about 1711.8023471120.

The spelling of 5016038400 in words is "five billion, sixteen million, thirty-eight thousand, four hundred".