52025742720 has 640 divisors, whose sum is σ = 213483029760. Its totient is φ = 11827482624.

The previous prime is 52025742701. The next prime is 52025742721. The reversal of 52025742720 is 2724752025.

52025742720 is a `hidden beast` number, since 5 + 202 + 5 + 7 + 427 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (52025742721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 111403927 + ... + 111404393.

It is an arithmetic number, because the mean of its divisors is an integer number (333567234).

Almost surely, 2^52025742720 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 52025742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106741514880).

52025742720 is an abundant number, since it is smaller than the sum of its proper divisors (161457287040).

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

52025742720 is a wasteful number, since it uses less digits than its factorization.

52025742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 52025742720 in words is "fifty-two billion, twenty-five million, seven hundred forty-two thousand, seven hundred twenty".