450520251010000 has 200 divisors, whose sum is σ = 1094384805217704. Its totient is φ = 179608535040000.

The previous prime is 450520251009989. The next prime is 450520251010001. The reversal of 450520251010000 is 10152025054.

It can be written as a sum of positive squares in 20 ways, for example, as 404447977035664 + 46072273974336 = 20110892^2 + 6787656^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×450520251010000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450520251010001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29420762344 + ... + 29420777656.

Almost surely, 2^{450520251010000} is an apocalyptic number.

450520251010000 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 450520251010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547192402608852).

450520251010000 is an abundant number, since it is smaller than the sum of its proper divisors (643864554207704).

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

450520251010000 is a wasteful number, since it uses less digits than its factorization.

450520251010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24939 (or 24918 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 450520251010000 in words is "four hundred fifty trillion, five hundred twenty billion, two hundred fifty-one million, ten thousand".