5215290400 has 72 divisors (see below), whose sum is σ = 13170914820. Its totient is φ = 2014172160.

The previous prime is 5215290359. The next prime is 5215290403. The reversal of 5215290400 is 40925125.

It can be written as a sum of positive squares in 6 ways, for example, as 3810839824 + 1404450576 = 61732^2 + 37476^2 .

It is not an unprimeable number, because it can be changed into a prime (5215290403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89199 + ... + 135598.

Almost surely, 2^5215290400 is an apocalyptic number.

5215290400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5215290400 is an abundant number, since it is smaller than the sum of its proper divisors (7955624420).

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

5215290400 is a wasteful number, since it uses less digits than its factorization.

5215290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224846 (or 224833 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 5215290400 is about 72216.9675353376. The cubic root of 5215290400 is about 1734.1746441825.

The spelling of 5215290400 in words is "five billion, two hundred fifteen million, two hundred ninety thousand, four hundred".