5209380540 has 288 divisors, whose sum is σ = 20170375680. Its totient is φ = 1099028736.

The previous prime is 5209380497. The next prime is 5209380581. The reversal of 5209380540 is 450839025.

5209380540 is a `hidden beast` number, since 5 + 20 + 93 + 8 + 0 + 540 = 666.

It is a super-2 number, since 2×5209380540² = 54275291221061383200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5209380495 and 5209380504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 436371 + ... + 448149.

Almost surely, 2^5209380540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5209380540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10085187840).

5209380540 is an abundant number, since it is smaller than the sum of its proper divisors (14960995140).

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

5209380540 is a wasteful number, since it uses less digits than its factorization.

5209380540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11823 (or 11809 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5209380540 is about 72176.0385446583. The cubic root of 5209380540 is about 1733.5193528991.

The spelling of 5209380540 in words is "five billion, two hundred nine million, three hundred eighty thousand, five hundred forty".