20786825885040 has 240 divisors, whose sum is σ = 73060442814528. Its totient is φ = 5286412099584.

The previous prime is 20786825885029. The next prime is 20786825885051. The reversal of 20786825885040 is 4058852868702.

20786825885040 is a `hidden beast` number, since 2 + 0 + 7 + 8 + 6 + 8 + 2 + 588 + 5 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (20786825885029) and next prime (20786825885051).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3718342 + ... + 7443098.

Almost surely, 2^{20786825885040} is an apocalyptic number.

20786825885040 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 20786825885040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36530221407264).

20786825885040 is an abundant number, since it is smaller than the sum of its proper divisors (52273616929488).

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

20786825885040 is a wasteful number, since it uses less digits than its factorization.

20786825885040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3725136 (or 3725127 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 20786825885040 in words is "twenty trillion, seven hundred eighty-six billion, eight hundred twenty-five million, eight hundred eighty-five thousand, forty".