465053210160 has 1200 divisors, whose sum is σ = 1920542122080. Its totient is φ = 92734709760.

The previous prime is 465053210131. The next prime is 465053210173. The reversal of 465053210160 is 61012350564.

It is a super-2 number, since 2×465053210160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6370591884 + ... + 6370591956.

Almost surely, 2^465053210160 is an apocalyptic number.

465053210160 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 465053210160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960271061040).

465053210160 is an abundant number, since it is smaller than the sum of its proper divisors (1455488911920).

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

465053210160 is a wasteful number, since it uses less digits than its factorization.

465053210160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 465053210160 in words is "four hundred sixty-five billion, fifty-three million, two hundred ten thousand, one hundred sixty".