21450400145000 has 160 divisors (see below), whose sum is σ = 51508911622080. Its totient is φ = 8367287040000.

The previous prime is 21450400144997. The next prime is 21450400145023. The reversal of 21450400145000 is 54100405412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135585944 + ... + 135744056.

It is an arithmetic number, because the mean of its divisors is an integer number (321930697638).

Almost surely, 2^{21450400145000} is an apocalyptic number.

21450400145000 is a gapful number since it is divisible by the number (20) 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 21450400145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25754455811040).

21450400145000 is an abundant number, since it is smaller than the sum of its proper divisors (30058511477080).

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

21450400145000 is a wasteful number, since it uses less digits than its factorization.

21450400145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158813 (or 158794 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The spelling of 21450400145000 in words is "twenty-one trillion, four hundred fifty billion, four hundred million, one hundred forty-five thousand".