53460218972160 has 4608 divisors, whose sum is σ = 261556007731200. Its totient is φ = 10173366927360.

The previous prime is 53460218972081. The next prime is 53460218972177. The reversal of 53460218972160 is 6127981206435.

It is a happy number.

53460218972160 is a `hidden beast` number, since 5 + 3 + 4 + 602 + 1 + 8 + 9 + 7 + 21 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 53460218972097 and 53460218972106.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 420946606017 + ... + 420946606143.

It is an arithmetic number, because the mean of its divisors is an integer number (56761286400).

It is a 1-persistent number, because it is pandigital, but 2⋅53460218972160 = 106920437944320 is not.

Almost surely, 2^{53460218972160} 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 53460218972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130778003865600).

53460218972160 is an abundant number, since it is smaller than the sum of its proper divisors (208095788759040).

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

53460218972160 is a wasteful number, since it uses less digits than its factorization.

53460218972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

It can be divided in two parts, 53460 and 218972160, that multiplied together give a square (11706251673600 = 3421440²).

The spelling of 53460218972160 in words is "fifty-three trillion, four hundred sixty billion, two hundred eighteen million, nine hundred seventy-two thousand, one hundred sixty".