53460566047460 has 1152 divisors, whose sum is σ = 145032975360000. Its totient is φ = 16372913356800.

The previous prime is 53460566047451. The next prime is 53460566047517. The reversal of 53460566047460 is 6474066506435.

It is a super-2 number, since 2×53460566047460² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53460566047396 and 53460566047405.

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, 268646060441 + ... + 268646060639.

It is an arithmetic number, because the mean of its divisors is an integer number (125896680000).

Almost surely, 2^{53460566047460} 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 53460566047460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72516487680000).

53460566047460 is an abundant number, since it is smaller than the sum of its proper divisors (91572409312540).

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

53460566047460 is a wasteful number, since it uses less digits than its factorization.

53460566047460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 56.

The spelling of 53460566047460 in words is "fifty-three trillion, four hundred sixty billion, five hundred sixty-six million, forty-seven thousand, four hundred sixty".