5340109824 has 528 divisors, whose sum is σ = 19006640640. Its totient is φ = 1411153920.

The previous prime is 5340109823. The next prime is 5340109829. The reversal of 5340109824 is 4289010435.

5340109824 is a `hidden beast` number, since 534 + 0 + 10 + 98 + 24 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5340109823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87542754 + ... + 87542814.

Almost surely, 2^5340109824 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 5340109824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9503320320).

5340109824 is an abundant number, since it is smaller than the sum of its proper divisors (13666530816).

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

5340109824 is a wasteful number, since it uses less digits than its factorization.

5340109824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5340109824 is about 73076.0550659380. The cubic root of 5340109824 is about 1747.9005925242.

The spelling of 5340109824 in words is "five billion, three hundred forty million, one hundred nine thousand, eight hundred twenty-four".