53170547458560 has 960 divisors, whose sum is σ = 208498192404480. Its totient is φ = 11493715968000.

The previous prime is 53170547458531. The next prime is 53170547458577. The reversal of 53170547458560 is 6585474507135.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 53170547458494 and 53170547458503.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4340092435 + ... + 4340104685.

It is an arithmetic number, because the mean of its divisors is an integer number (217185617088).

Almost surely, 2^{53170547458560} 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 53170547458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104249096202240).

53170547458560 is an abundant number, since it is smaller than the sum of its proper divisors (155327644945920).

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

53170547458560 is a wasteful number, since it uses less digits than its factorization.

53170547458560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12917 (or 12894 counting only the distinct ones).

The product of its (nonzero) digits is 70560000, while the sum is 60.

The spelling of 53170547458560 in words is "fifty-three trillion, one hundred seventy billion, five hundred forty-seven million, four hundred fifty-eight thousand, five hundred sixty".