20743261920 has 192 divisors, whose sum is σ = 74290487040. Its totient is φ = 5402847744.

The previous prime is 20743261907. The next prime is 20743261967. The reversal of 20743261920 is 2916234702.

20743261920 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 32 + 619 + 2 + 0 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129927 + ... + 241593.

It is an arithmetic number, because the mean of its divisors is an integer number (386929620).

Almost surely, 2^20743261920 is an apocalyptic number.

20743261920 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 20743261920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37145243520).

20743261920 is an abundant number, since it is smaller than the sum of its proper divisors (53547225120).

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

20743261920 is a wasteful number, since it uses less digits than its factorization.

20743261920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111734 (or 111720 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 20743261920 in words is "twenty billion, seven hundred forty-three million, two hundred sixty-one thousand, nine hundred twenty".