20993243040 has 960 divisors, whose sum is σ = 93700696320. Its totient is φ = 4299816960.

The previous prime is 20993243023. The next prime is 20993243041. The reversal of 20993243040 is 4034239902.

20993243040 is a `hidden beast` number, since 20 + 9 + 9 + 324 + 304 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20993242986 and 20993243004.

It is not an unprimeable number, because it can be changed into a prime (20993243041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 108773184 + ... + 108773376.

It is an arithmetic number, because the mean of its divisors is an integer number (97604892).

Almost surely, 2^20993243040 is an apocalyptic number.

20993243040 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 20993243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46850348160).

20993243040 is an abundant number, since it is smaller than the sum of its proper divisors (72707453280).

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

20993243040 is a wasteful number, since it uses less digits than its factorization.

20993243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 20993243040 in words is "twenty billion, nine hundred ninety-three million, two hundred forty-three thousand, forty".