465585120000 has 4320 divisors, whose sum is σ = 2510250462720. Its totient is φ = 79626240000.

The previous prime is 465585119959. The next prime is 465585120037. The reversal of 465585120000 is 21585564.

465585120000 is a `hidden beast` number, since 4 + 65 + 585 + 12 + 0 + 0 + 0 + 0 = 666.

It is a super-4 number, since 4×465585120000⁴ (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 24504479991 + ... + 24504480009.

It is an arithmetic number, because the mean of its divisors is an integer number (581076496).

Almost surely, 2^465585120000 is an apocalyptic number.

465585120000 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 465585120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255125231360).

465585120000 is an abundant number, since it is smaller than the sum of its proper divisors (2044665342720).

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

465585120000 is a wasteful number, since it uses less digits than its factorization.

465585120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

It can be divided in two parts, 465585 and 120000, that added together give a palindrome (585585).

The spelling of 465585120000 in words is "four hundred sixty-five billion, five hundred eighty-five million, one hundred twenty thousand".