20445941880 has 768 divisors, whose sum is σ = 85542912000. Its totient is φ = 4206504960.

The previous prime is 20445941843. The next prime is 20445941921. The reversal of 20445941880 is 8814954402.

20445941880 is a `hidden beast` number, since 2 + 0 + 44 + 594 + 18 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75446145 + ... + 75446415.

It is an arithmetic number, because the mean of its divisors is an integer number (111384000).

Almost surely, 2^20445941880 is an apocalyptic number.

20445941880 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 20445941880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42771456000).

20445941880 is an abundant number, since it is smaller than the sum of its proper divisors (65096970120).

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

20445941880 is a wasteful number, since it uses less digits than its factorization.

20445941880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 20445941880 in words is "twenty billion, four hundred forty-five million, nine hundred forty-one thousand, eight hundred eighty".