900809910000 has 3000 divisors, whose sum is σ = 4451105965152. Its totient is φ = 171072000000.

The previous prime is 900809909963. The next prime is 900809910061. The reversal of 900809910000 is 19908009.

It is a tau number, because it is divible by the number of its divisors (3000).

It is a super-2 number, since 2×900809910000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 8918909950 + ... + 8918910050.

Almost surely, 2^900809910000 is an apocalyptic number.

900809910000 is a gapful number since it is divisible by the number (90) 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 900809910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225552982576).

900809910000 is an abundant number, since it is smaller than the sum of its proper divisors (3550296055152).

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

900809910000 is a wasteful number, since it uses less digits than its factorization.

900809910000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 900809910000 in words is "nine hundred billion, eight hundred nine million, nine hundred ten thousand".