5216390400 has 216 divisors, whose sum is σ = 18540306400. Its totient is φ = 1283973120.

The previous prime is 5216390393. The next prime is 5216390441. The reversal of 5216390400 is 40936125.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239151 + ... + 260049.

Almost surely, 2^5216390400 is an apocalyptic number.

5216390400 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 5216390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9270153200).

5216390400 is an abundant number, since it is smaller than the sum of its proper divisors (13323916000).

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

5216390400 is a wasteful number, since it uses less digits than its factorization.

5216390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20941 (or 20922 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 5216390400 is about 72224.5830725246. The cubic root of 5216390400 is about 1734.2965586470.

The spelling of 5216390400 in words is "five billion, two hundred sixteen million, three hundred ninety thousand, four hundred".