20927773440 has 1152 divisors, whose sum is σ = 93010176000. Its totient is φ = 4347592704.

The previous prime is 20927773423. The next prime is 20927773481. The reversal of 20927773440 is 4437772902.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133297842 + ... + 133297998.

It is an arithmetic number, because the mean of its divisors is an integer number (80738000).

Almost surely, 2^20927773440 is an apocalyptic number.

20927773440 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 20927773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46505088000).

20927773440 is an abundant number, since it is smaller than the sum of its proper divisors (72082402560).

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

20927773440 is a wasteful number, since it uses less digits than its factorization.

20927773440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 20927773440 in words is "twenty billion, nine hundred twenty-seven million, seven hundred seventy-three thousand, four hundred forty".