53005695468 has 192 divisors, whose sum is σ = 141065971200. Its totient is φ = 15349340160.

The previous prime is 53005695443. The next prime is 53005695469. The reversal of 53005695468 is 86459650035.

It is a self number, because there is not a number n which added to its sum of digits gives 53005695468.

It is not an unprimeable number, because it can be changed into a prime (53005695469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85630863 + ... + 85631481.

It is an arithmetic number, because the mean of its divisors is an integer number (734718600).

Almost surely, 2^53005695468 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 53005695468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70532985600).

53005695468 is an abundant number, since it is smaller than the sum of its proper divisors (88060275732).

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

53005695468 is a wasteful number, since it uses less digits than its factorization.

53005695468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 53005695468 in words is "fifty-three billion, five million, six hundred ninety-five thousand, four hundred sixty-eight".