20887142040 has 96 divisors (see below), whose sum is σ = 67966264080. Its totient is φ = 5563090176.

The previous prime is 20887142011. The next prime is 20887142041. The reversal of 20887142040 is 4024178802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20887141986 and 20887142004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20887142041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262642 + ... + 332798.

Almost surely, 2^20887142040 is an apocalyptic number.

20887142040 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 20887142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33983132040).

20887142040 is an abundant number, since it is smaller than the sum of its proper divisors (47079122040).

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

20887142040 is a wasteful number, since it uses less digits than its factorization.

20887142040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71001 (or 70994 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 20887142040 in words is "twenty billion, eight hundred eighty-seven million, one hundred forty-two thousand, forty".