10089868800 has 240 divisors, whose sum is σ = 36362886912. Its totient is φ = 2445926400.

The previous prime is 10089868787. The next prime is 10089868807. The reversal of 10089868800 is 886898001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10089868800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10089868807) 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, 410457 + ... + 434343.

Almost surely, 2^10089868800 is an apocalyptic number.

10089868800 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 10089868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18181443456).

10089868800 is an abundant number, since it is smaller than the sum of its proper divisors (26273018112).

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

10089868800 is a wasteful number, since it uses less digits than its factorization.

10089868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23929 (or 23908 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 48.

The spelling of 10089868800 in words is "ten billion, eighty-nine million, eight hundred sixty-eight thousand, eight hundred".