20818607040 has 1568 divisors, whose sum is σ = 99144368640. Its totient is φ = 4031078400.

The previous prime is 20818607011. The next prime is 20818607057. The reversal of 20818607040 is 4070681802.

20818607040 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 8 + 607 + 0 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 20818606986 and 20818607004.

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 223 ways as a sum of consecutive naturals, for example, 341288610 + ... + 341288670.

Almost surely, 2^20818607040 is an apocalyptic number.

20818607040 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 20818607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49572184320).

20818607040 is an abundant number, since it is smaller than the sum of its proper divisors (78325761600).

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

20818607040 is a wasteful number, since it uses less digits than its factorization.

20818607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 20818607040 in words is "twenty billion, eight hundred eighteen million, six hundred seven thousand, forty".