5380513600 has 504 divisors, whose sum is σ = 17837822592. Its totient is φ = 1574092800.

The previous prime is 5380513597. The next prime is 5380513627. The reversal of 5380513600 is 63150835.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14660617 + ... + 14660983.

Almost surely, 2^5380513600 is an apocalyptic number.

5380513600 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 5380513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8918911296).

5380513600 is an abundant number, since it is smaller than the sum of its proper divisors (12457308992).

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

5380513600 is a wasteful number, since it uses less digits than its factorization.

5380513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 5380513600 is about 73351.9842949051. The cubic root of 5380513600 is about 1752.2977816507.

The spelling of 5380513600 in words is "five billion, three hundred eighty million, five hundred thirteen thousand, six hundred".