20463528960000 has 4200 divisors, whose sum is σ = 95307800397480. Its totient is φ = 4347592704000.

The previous prime is 20463528959969. The next prime is 20463528960001. The reversal of 20463528960000 is 6982536402.

20463528960000 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 35 + 2 + 8 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20463528960001) by changing a digit.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 386104319974 + ... + 386104320026.

Almost surely, 2^{20463528960000} is an apocalyptic number.

20463528960000 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 20463528960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47653900198740).

20463528960000 is an abundant number, since it is smaller than the sum of its proper divisors (74844271437480).

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

20463528960000 is an frugal number, since it uses more digits than its factorization.

20463528960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 20463528960000 in words is "twenty trillion, four hundred sixty-three billion, five hundred twenty-eight million, nine hundred sixty thousand".