10181116800 has 288 divisors, whose sum is σ = 37676937480. Its totient is φ = 2714757120.

The previous prime is 10181116793. The next prime is 10181116801. The reversal of 10181116800 is 861118101.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10181116801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 771054 + ... + 784146.

Almost surely, 2^10181116800 is an apocalyptic number.

10181116800 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 10181116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18838468740).

10181116800 is an abundant number, since it is smaller than the sum of its proper divisors (27495820680).

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

10181116800 is an equidigital number, since it uses as much as digits as its factorization.

10181116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13132 (or 13103 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 27.

The spelling of 10181116800 in words is "ten billion, one hundred eighty-one million, one hundred sixteen thousand, eight hundred".