20651085000 has 960 divisors, whose sum is σ = 90428553600. Its totient is φ = 4250880000.

The previous prime is 20651084969. The next prime is 20651085011. The reversal of 20651085000 is 58015602.

20651085000 is a `hidden beast` number, since 2 + 0 + 651 + 0 + 8 + 5 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 503684980 + ... + 503685020.

It is an arithmetic number, because the mean of its divisors is an integer number (94196410).

Almost surely, 2^20651085000 is an apocalyptic number.

20651085000 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 20651085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45214276800).

20651085000 is an abundant number, since it is smaller than the sum of its proper divisors (69777468600).

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

20651085000 is a wasteful number, since it uses less digits than its factorization.

20651085000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 20651085000 in words is "twenty billion, six hundred fifty-one million, eighty-five thousand".