53759360520 has 192 divisors, whose sum is σ = 180781286400. Its totient is φ = 13840519680.

The previous prime is 53759360509. The next prime is 53759360527. The reversal of 53759360520 is 2506395735.

It is a happy number.

53759360520 is a `hidden beast` number, since 5 + 3 + 7 + 593 + 6 + 0 + 52 + 0 = 666.

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 (53759360527) 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, 4893754 + ... + 4904726.

It is an arithmetic number, because the mean of its divisors is an integer number (941569200).

Almost surely, 2^53759360520 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 53759360520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90390643200).

53759360520 is an abundant number, since it is smaller than the sum of its proper divisors (127021925880).

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

53759360520 is a wasteful number, since it uses less digits than its factorization.

53759360520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11460 (or 11453 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The spelling of 53759360520 in words is "fifty-three billion, seven hundred fifty-nine million, three hundred sixty thousand, five hundred twenty".