20100717000 has 1024 divisors, whose sum is σ = 87681484800. Its totient is φ = 4199040000.

The previous prime is 20100716971. The next prime is 20100717041. The reversal of 20100717000 is 71700102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 199016950 + ... + 199017050.

It is an arithmetic number, because the mean of its divisors is an integer number (85626450).

Almost surely, 2^20100717000 is an apocalyptic number.

20100717000 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 20100717000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43840742400).

20100717000 is an abundant number, since it is smaller than the sum of its proper divisors (67580767800).

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

20100717000 is a wasteful number, since it uses less digits than its factorization.

20100717000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The spelling of 20100717000 in words is "twenty billion, one hundred million, seven hundred seventeen thousand".