10000892000 has 144 divisors (see below), whose sum is σ = 27010410336. Its totient is φ = 3636512000.

The previous prime is 10000891919. The next prime is 10000892009. The reversal of 10000892000 is 29800001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000892009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473669 + ... + 494331.

It is an arithmetic number, because the mean of its divisors is an integer number (187572294).

Almost surely, 2^10000892000 is an apocalyptic number.

10000892000 is a gapful number since it is divisible by the number (10) 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 10000892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13505205168).

10000892000 is an abundant number, since it is smaller than the sum of its proper divisors (17009518336).

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

10000892000 is a wasteful number, since it uses less digits than its factorization.

10000892000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20710 (or 20681 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 10000892000 in words is "ten billion, eight hundred ninety-two thousand".