53461882320 has 640 divisors, whose sum is σ = 219688796160. Its totient is φ = 10418595840.

The previous prime is 53461882259. The next prime is 53461882321. The reversal of 53461882320 is 2328816435.

It is a super-2 number, since 2×53461882320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53461882321) 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 127 ways as a sum of consecutive naturals, for example, 37569129 + ... + 37570551.

It is an arithmetic number, because the mean of its divisors is an integer number (343263744).

Almost surely, 2^53461882320 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 53461882320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109844398080).

53461882320 is an abundant number, since it is smaller than the sum of its proper divisors (166226913840).

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

53461882320 is a wasteful number, since it uses less digits than its factorization.

53461882320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 53461882320 in words is "fifty-three billion, four hundred sixty-one million, eight hundred eighty-two thousand, three hundred twenty".