20913812860500 has 576 divisors, whose sum is σ = 78315731440128. Its totient is φ = 4772852812800.

The previous prime is 20913812860481. The next prime is 20913812860517. The reversal of 20913812860500 is 506821831902.

20913812860500 is a `hidden beast` number, since 2 + 0 + 9 + 1 + 3 + 81 + 2 + 8 + 60 + 500 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 555357672 + ... + 555395328.

It is an arithmetic number, because the mean of its divisors is an integer number (135964811528).

Almost surely, 2^{20913812860500} is an apocalyptic number.

20913812860500 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 20913812860500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39157865720064).

20913812860500 is an abundant number, since it is smaller than the sum of its proper divisors (57401918579628).

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

20913812860500 is a wasteful number, since it uses less digits than its factorization.

20913812860500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38351 (or 38327 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 20913812860500 in words is "twenty trillion, nine hundred thirteen billion, eight hundred twelve million, eight hundred sixty thousand, five hundred".