20807418000 has 240 divisors, whose sum is σ = 68792525568. Its totient is φ = 5410688000.

The previous prime is 20807417947. The next prime is 20807418011. The reversal of 20807418000 is 81470802.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 10084969 + ... + 10087031.

Almost surely, 2^20807418000 is an apocalyptic number.

20807418000 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 20807418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34396262784).

20807418000 is an abundant number, since it is smaller than the sum of its proper divisors (47985107568).

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

20807418000 is a wasteful number, since it uses less digits than its factorization.

20807418000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

Adding to 20807418000 its reverse (81470802), we get a palindrome (20888888802).

The spelling of 20807418000 in words is "twenty billion, eight hundred seven million, four hundred eighteen thousand".