465130512000 has 2560 divisors, whose sum is σ = 2218005504000. Its totient is φ = 93809664000.

The previous prime is 465130511971. The next prime is 465130512071. The reversal of 465130512000 is 215031564.

465130512000 is a `hidden beast` number, since 4 + 651 + 3 + 0 + 5 + 1 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5887727961 + ... + 5887728039.

It is an arithmetic number, because the mean of its divisors is an integer number (866408400).

Almost surely, 2^465130512000 is an apocalyptic number.

465130512000 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 465130512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109002752000).

465130512000 is an abundant number, since it is smaller than the sum of its proper divisors (1752874992000).

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

465130512000 is a wasteful number, since it uses less digits than its factorization.

465130512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 465130512000 its reverse (215031564), we get a palindrome (465345543564).

The spelling of 465130512000 in words is "four hundred sixty-five billion, one hundred thirty million, five hundred twelve thousand".