20587680120 has 128 divisors (see below), whose sum is σ = 70787312640. Its totient is φ = 4692357120.

The previous prime is 20587680089. The next prime is 20587680199. The reversal of 20587680120 is 2108678502.

It is a super-3 number, since 3×20587680120³ (a number of 32 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 261805 + ... + 331235.

It is an arithmetic number, because the mean of its divisors is an integer number (553025880).

Almost surely, 2^20587680120 is an apocalyptic number.

20587680120 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 20587680120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35393656320).

20587680120 is an abundant number, since it is smaller than the sum of its proper divisors (50199632520).

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

20587680120 is a wasteful number, since it uses less digits than its factorization.

20587680120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69805 (or 69801 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 20587680120 in words is "twenty billion, five hundred eighty-seven million, six hundred eighty thousand, one hundred twenty".