53591720878080 has 4480 divisors, whose sum is σ = 257688096906240. Its totient is φ = 10319560704000.

The previous prime is 53591720878067. The next prime is 53591720878081. The reversal of 53591720878080 is 8087802719535.

53591720878080 is a `hidden beast` number, since 5 + 359 + 1 + 7 + 208 + 78 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 53591720877999 and 53591720878017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53591720878081) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 296086855590 + ... + 296086855770.

It is an arithmetic number, because the mean of its divisors is an integer number (57519664488).

Almost surely, 2^{53591720878080} 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 53591720878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128844048453120).

53591720878080 is an abundant number, since it is smaller than the sum of its proper divisors (204096376028160).

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

53591720878080 is a wasteful number, since it uses less digits than its factorization.

53591720878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 53591720878080 in words is "fifty-three trillion, five hundred ninety-one billion, seven hundred twenty million, eight hundred seventy-eight thousand, eighty".