20006610000 has 400 divisors, whose sum is σ = 71229149376. Its totient is φ = 4806144000.

The previous prime is 20006609999. The next prime is 20006610031. The reversal of 20006610000 is 1660002.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16769404 + ... + 16770596.

Almost surely, 2^20006610000 is an apocalyptic number.

20006610000 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 20006610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35614574688).

20006610000 is an abundant number, since it is smaller than the sum of its proper divisors (51222539376).

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

20006610000 is a wasteful number, since it uses less digits than its factorization.

20006610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The spelling of 20006610000 in words is "twenty billion, six million, six hundred ten thousand".