20918286000 has 240 divisors, whose sum is σ = 73750199328. Its totient is φ = 5525568000.

The previous prime is 20918285963. The next prime is 20918286017. The reversal of 20918286000 is 68281902.

20918286000 is a `hidden beast` number, since 20 + 9 + 1 + 8 + 28 + 600 + 0 = 666.

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 (36).

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, 1920570 + ... + 1931430.

Almost surely, 2^20918286000 is an apocalyptic number.

20918286000 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 20918286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36875099664).

20918286000 is an abundant number, since it is smaller than the sum of its proper divisors (52831913328).

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

20918286000 is a wasteful number, since it uses less digits than its factorization.

20918286000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10997 (or 10978 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 20918286000 in words is "twenty billion, nine hundred eighteen million, two hundred eighty-six thousand".