10145116800 has 1152 divisors, whose sum is σ = 46038720000. Its totient is φ = 2113413120.

The previous prime is 10145116783. The next prime is 10145116831. The reversal of 10145116800 is 861154101.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 128419161 + ... + 128419239.

Almost surely, 2^10145116800 is an apocalyptic number.

10145116800 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 10145116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23019360000).

10145116800 is an abundant number, since it is smaller than the sum of its proper divisors (35893603200).

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

10145116800 is a wasteful number, since it uses less digits than its factorization.

10145116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 10145116800 in words is "ten billion, one hundred forty-five million, one hundred sixteen thousand, eight hundred".