450553022520000 has 560 divisors, whose sum is σ = 1495750116748800. Its totient is φ = 119655152640000.

The previous prime is 450553022519959. The next prime is 450553022520047. The reversal of 450553022520000 is 25220355054.

It is a super-2 number, since 2×450553022520000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29974912485 + ... + 29974927515.

Almost surely, 2^{450553022520000} is an apocalyptic number.

450553022520000 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 450553022520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747875058374400).

450553022520000 is an abundant number, since it is smaller than the sum of its proper divisors (1045197094228800).

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

450553022520000 is a wasteful number, since it uses less digits than its factorization.

450553022520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16074 (or 16049 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 33.

Adding to 450553022520000 its reverse (25220355054), we get a palindrome (450578242875054).

The spelling of 450553022520000 in words is "four hundred fifty trillion, five hundred fifty-three billion, twenty-two million, five hundred twenty thousand".