20086587840 has 448 divisors, whose sum is σ = 72762831360. Its totient is φ = 4650024960.

The previous prime is 20086587803. The next prime is 20086587853. The reversal of 20086587840 is 4878568002.

It is a super-2 number, since 2×20086587840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20086587840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32767374 + ... + 32767986.

Almost surely, 2^20086587840 is an apocalyptic number.

20086587840 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 20086587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36381415680).

20086587840 is an abundant number, since it is smaller than the sum of its proper divisors (52676243520).

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

20086587840 is a wasteful number, since it uses less digits than its factorization.

20086587840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 20086587840 in words is "twenty billion, eighty-six million, five hundred eighty-seven thousand, eight hundred forty".