20945242752 has 128 divisors (see below), whose sum is σ = 65635123200. Its totient is φ = 5791288320.

The previous prime is 20945242733. The next prime is 20945242763. The reversal of 20945242752 is 25724254902.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 42352 + ... + 209007.

It is an arithmetic number, because the mean of its divisors is an integer number (512774400).

Almost surely, 2^20945242752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20945242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32817561600).

20945242752 is an abundant number, since it is smaller than the sum of its proper divisors (44689880448).

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

20945242752 is a wasteful number, since it uses less digits than its factorization.

20945242752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251414 (or 251402 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 20945242752 in words is "twenty billion, nine hundred forty-five million, two hundred forty-two thousand, seven hundred fifty-two".