53520404626464 has 96 divisors (see below), whose sum is σ = 145364727150720. Its totient is φ = 17221503516672.

The previous prime is 53520404626459. The next prime is 53520404626523. The reversal of 53520404626464 is 46462640402535.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×53520404626464² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11975389 + ... + 15825635.

It is an arithmetic number, because the mean of its divisors is an integer number (1514215907820).

Almost surely, 2^{53520404626464} 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 53520404626464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72682363575360).

53520404626464 is an abundant number, since it is smaller than the sum of its proper divisors (91844322524256).

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

53520404626464 is a wasteful number, since it uses less digits than its factorization.

53520404626464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855282 (or 3855274 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 51.

The spelling of 53520404626464 in words is "fifty-three trillion, five hundred twenty billion, four hundred four million, six hundred twenty-six thousand, four hundred sixty-four".