20169948850800 has 480 divisors, whose sum is σ = 75372229440000. Its totient is φ = 4608803082240.

The previous prime is 20169948850781. The next prime is 20169948850819. The reversal of 20169948850800 is 805884996102.

It is an interprime number because it is at equal distance from previous prime (20169948850781) and next prime (20169948850819).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1785103551 + ... + 1785114849.

It is an arithmetic number, because the mean of its divisors is an integer number (157025478000).

Almost surely, 2^{20169948850800} is an apocalyptic number.

20169948850800 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 20169948850800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37686114720000).

20169948850800 is an abundant number, since it is smaller than the sum of its proper divisors (55202280589200).

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

20169948850800 is a wasteful number, since it uses less digits than its factorization.

20169948850800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15678 (or 15653 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 60.

The spelling of 20169948850800 in words is "twenty trillion, one hundred sixty-nine billion, nine hundred forty-eight million, eight hundred fifty thousand, eight hundred".