20987278376688 has 480 divisors, whose sum is σ = 69845240779200. Its totient is φ = 6009442762752.

The previous prime is 20987278376681. The next prime is 20987278376699. The reversal of 20987278376688 is 88667387278902.

20987278376688 is a `hidden beast` number, since 20 + 9 + 87 + 2 + 78 + 376 + 6 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20987278376681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110366106 + ... + 110556102.

It is an arithmetic number, because the mean of its divisors is an integer number (145510918290).

Almost surely, 2^{20987278376688} 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 20987278376688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34922620389600).

20987278376688 is an abundant number, since it is smaller than the sum of its proper divisors (48857962402512).

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

20987278376688 is a wasteful number, since it uses less digits than its factorization.

20987278376688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190146 (or 190121 counting only the distinct ones).

The product of its (nonzero) digits is 5462360064, while the sum is 81.

The spelling of 20987278376688 in words is "twenty trillion, nine hundred eighty-seven billion, two hundred seventy-eight million, three hundred seventy-six thousand, six hundred eighty-eight".