20258987040 has 288 divisors, whose sum is σ = 75727295280. Its totient is φ = 4909105152.

The previous prime is 20258987009. The next prime is 20258987081. The reversal of 20258987040 is 4078985202.

20258987040 is a `hidden beast` number, since 20 + 2 + 589 + 8 + 7 + 0 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7667454096 + 12591532944 = 87564^2 + 112212^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 695652 + ... + 724188.

Almost surely, 2^20258987040 is an apocalyptic number.

20258987040 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 20258987040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37863647640).

20258987040 is an abundant number, since it is smaller than the sum of its proper divisors (55468308240).

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

20258987040 is a wasteful number, since it uses less digits than its factorization.

20258987040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28604 (or 28593 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 20258987040 in words is "twenty billion, two hundred fifty-eight million, nine hundred eighty-seven thousand, forty".