53846305920 has 384 divisors, whose sum is σ = 214777630080. Its totient is φ = 12285542400.

The previous prime is 53846305913. The next prime is 53846305921. The reversal of 53846305920 is 2950364835.

53846305920 is a `hidden beast` number, since 5 + 3 + 8 + 4 + 630 + 5 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×53846305920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (53846305921) 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, 1052125 + ... + 1102115.

It is an arithmetic number, because the mean of its divisors is an integer number (559316745).

Almost surely, 2^53846305920 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 53846305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107388815040).

53846305920 is an abundant number, since it is smaller than the sum of its proper divisors (160931324160).

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

53846305920 is a wasteful number, since it uses less digits than its factorization.

53846305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50044 (or 50029 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 53846305920 in words is "fifty-three billion, eight hundred forty-six million, three hundred five thousand, nine hundred twenty".