465953054080 has 128 divisors (see below), whose sum is σ = 1160603458560. Its totient is φ = 178682419200.

The previous prime is 465953054059. The next prime is 465953054087. The reversal of 465953054080 is 80450359564.

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

It is a super-2 number, since 2×465953054080² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465953054087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2013135 + ... + 2232625.

It is an arithmetic number, because the mean of its divisors is an integer number (9067214520).

Almost surely, 2^465953054080 is an apocalyptic number.

465953054080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465953054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580301729280).

465953054080 is an abundant number, since it is smaller than the sum of its proper divisors (694650404480).

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

465953054080 is a wasteful number, since it uses less digits than its factorization.

465953054080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219648 (or 219636 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 49.

The spelling of 465953054080 in words is "four hundred sixty-five billion, nine hundred fifty-three million, fifty-four thousand, eighty".