5340153600 has 324 divisors, whose sum is σ = 19339579896. Its totient is φ = 1405624320.

The previous prime is 5340153587. The next prime is 5340153619. The reversal of 5340153600 is 63510435.

5340153600 is a `hidden beast` number, since 5 + 3 + 4 + 0 + 1 + 53 + 600 = 666.

It is a super-3 number, since 3×5340153600³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4780242 + ... + 4781358.

Almost surely, 2^5340153600 is an apocalyptic number.

5340153600 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 5340153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9669789948).

5340153600 is an abundant number, since it is smaller than the sum of its proper divisors (13999426296).

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

5340153600 is a wasteful number, since it uses less digits than its factorization.

5340153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5340153600 is about 73076.3545888819. The cubic root of 5340153600 is about 1747.9053686986.

The spelling of 5340153600 in words is "five billion, three hundred forty million, one hundred fifty-three thousand, six hundred".