5146653120 has 448 divisors, whose sum is σ = 19856378880. Its totient is φ = 1103265792.

The previous prime is 5146653089. The next prime is 5146653133. The reversal of 5146653120 is 213566415.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22088524 + ... + 22088756.

Almost surely, 2^5146653120 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 5146653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9928189440).

5146653120 is an abundant number, since it is smaller than the sum of its proper divisors (14709725760).

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

5146653120 is a wasteful number, since it uses less digits than its factorization.

5146653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 5146653120 is about 71740.1778642902. The cubic root of 5146653120 is about 1726.5333276746.

The spelling of 5146653120 in words is "five billion, one hundred forty-six million, six hundred fifty-three thousand, one hundred twenty".