20687340087960 has 384 divisors, whose sum is σ = 77787151485120. Its totient is φ = 4362604904448.

The previous prime is 20687340087937. The next prime is 20687340087961. The reversal of 20687340087960 is 6978004378602.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 20687340087894 and 20687340087903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20687340087961) 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, 154112392 + ... + 154246568.

Almost surely, 2^{20687340087960} is an apocalyptic number.

20687340087960 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 20687340087960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38893575742560).

20687340087960 is an abundant number, since it is smaller than the sum of its proper divisors (57099811397160).

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

20687340087960 is a wasteful number, since it uses less digits than its factorization.

20687340087960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136235 (or 136224 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 20687340087960 in words is "twenty trillion, six hundred eighty-seven billion, three hundred forty million, eighty-seven thousand, nine hundred sixty".