20850148800 has 504 divisors, whose sum is σ = 80526957056. Its totient is φ = 5086126080.

The previous prime is 20850148799. The next prime is 20850148829. The reversal of 20850148800 is 884105802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23773962 + ... + 23774838.

Almost surely, 2^20850148800 is an apocalyptic number.

20850148800 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 20850148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40263478528).

20850148800 is an abundant number, since it is smaller than the sum of its proper divisors (59676808256).

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

20850148800 is a wasteful number, since it uses less digits than its factorization.

20850148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 20850148800 in words is "twenty billion, eight hundred fifty million, one hundred forty-eight thousand, eight hundred".