20908608919776 has 144 divisors (see below), whose sum is σ = 59619238818048. Its totient is φ = 6950744064000.

The previous prime is 20908608919753. The next prime is 20908608919819. The reversal of 20908608919776 is 67791980680902.

20908608919776 is a `hidden beast` number, since 2 + 0 + 9 + 0 + 8 + 608 + 9 + 1 + 9 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676397761 + ... + 676428671.

It is an arithmetic number, because the mean of its divisors is an integer number (414022491792).

Almost surely, 2^{20908608919776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20908608919776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29809619409024).

20908608919776 is an abundant number, since it is smaller than the sum of its proper divisors (38710629898272).

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

20908608919776 is a wasteful number, since it uses less digits than its factorization.

20908608919776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37185 (or 37174 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 20908608919776 in words is "twenty trillion, nine hundred eight billion, six hundred eight million, nine hundred nineteen thousand, seven hundred seventy-six".