52153045920 has 288 divisors, whose sum is σ = 185791656960. Its totient is φ = 13306613760.

The previous prime is 52153045877. The next prime is 52153045921. The reversal of 52153045920 is 2954035125.

It is a happy number.

52153045920 is a `hidden beast` number, since 52 + 1 + 530 + 4 + 59 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (52153045921) 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, 3966397 + ... + 3979523.

It is an arithmetic number, because the mean of its divisors is an integer number (645109920).

Almost surely, 2^52153045920 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 52153045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92895828480).

52153045920 is an abundant number, since it is smaller than the sum of its proper divisors (133638611040).

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

52153045920 is a wasteful number, since it uses less digits than its factorization.

52153045920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13268 (or 13257 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 52153045920 in words is "fifty-two billion, one hundred fifty-three million, forty-five thousand, nine hundred twenty".