53641336320 has 1280 divisors, whose sum is σ = 229995279360. Its totient is φ = 11824496640.

The previous prime is 53641336249. The next prime is 53641336327. The reversal of 53641336320 is 2363314635.

53641336320 is a `hidden beast` number, since 5 + 3 + 6 + 4 + 13 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×53641336320² (a number of 22 digits) contains 22 as substring.

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 (53641336327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 800616927 + ... + 800616993.

It is an arithmetic number, because the mean of its divisors is an integer number (179683812).

Almost surely, 2^53641336320 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 53641336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114997639680).

53641336320 is an abundant number, since it is smaller than the sum of its proper divisors (176353943040).

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

53641336320 is an equidigital number, since it uses as much as digits as its factorization.

53641336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 53641336320 in words is "fifty-three billion, six hundred forty-one million, three hundred thirty-six thousand, three hundred twenty".