53513026446464 has 128 divisors (see below), whose sum is σ = 118865555751600. Its totient is φ = 23826968395776.

The previous prime is 53513026446443. The next prime is 53513026446541. The reversal of 53513026446464 is 46464462031535.

It can be written as a sum of positive squares in 8 ways, for example, as 14049602958400 + 39463423488064 = 3748280^2 + 6281992^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58077422 + ... + 58991634.

Almost surely, 2^{53513026446464} 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 53513026446464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59432777875800).

53513026446464 is an abundant number, since it is smaller than the sum of its proper divisors (65352529305136).

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

53513026446464 is a wasteful number, since it uses less digits than its factorization.

53513026446464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915482 (or 915470 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 53.

Adding to 53513026446464 its reverse (46464462031535), we get a palindrome (99977488477999).

The spelling of 53513026446464 in words is "fifty-three trillion, five hundred thirteen billion, twenty-six million, four hundred forty-six thousand, four hundred sixty-four".