53259341667840 has 2400 divisors, whose sum is σ = 244275427988064. Its totient is φ = 10966338109440.

The previous prime is 53259341667839. The next prime is 53259341667881. The reversal of 53259341667840 is 4876614395235.

53259341667840 is a `hidden beast` number, since 5 + 3 + 25 + 93 + 416 + 6 + 78 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12629673412 + ... + 12629677628.

It is a 1-persistent number, because it is pandigital, but 2⋅53259341667840 = 106518683335680 is not.

Almost surely, 2^{53259341667840} 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 53259341667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122137713994032).

53259341667840 is an abundant number, since it is smaller than the sum of its proper divisors (191016086320224).

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

53259341667840 is a wasteful number, since it uses less digits than its factorization.

53259341667840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 53259341667840 in words is "fifty-three trillion, two hundred fifty-nine billion, three hundred forty-one million, six hundred sixty-seven thousand, eight hundred forty".