20524211664000 has 2048 divisors, whose sum is σ = 79375023636480. Its totient is φ = 4683571200000.

The previous prime is 20524211663971. The next prime is 20524211664001. The reversal of 20524211664000 is 46611242502.

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

It is not an unprimeable number, because it can be changed into a prime (20524211664001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 85162703880 + ... + 85162704120.

It is an arithmetic number, because the mean of its divisors is an integer number (38757335760).

Almost surely, 2^{20524211664000} is an apocalyptic number.

20524211664000 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 20524211664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39687511818240).

20524211664000 is an abundant number, since it is smaller than the sum of its proper divisors (58850811972480).

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

20524211664000 is a wasteful number, since it uses less digits than its factorization.

20524211664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 20524211664000 in words is "twenty trillion, five hundred twenty-four billion, two hundred eleven million, six hundred sixty-four thousand".