10181216500 has 192 divisors, whose sum is σ = 28809930240. Its totient is φ = 3052339200.

The previous prime is 10181216483. The next prime is 10181216503. The reversal of 10181216500 is 561218101.

It is a happy number.

10181216500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10181216503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 858612 + ... + 870388.

It is an arithmetic number, because the mean of its divisors is an integer number (150051720).

Almost surely, 2^10181216500 is an apocalyptic number.

10181216500 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 10181216500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14404965120).

10181216500 is an abundant number, since it is smaller than the sum of its proper divisors (18628713740).

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

10181216500 is a wasteful number, since it uses less digits than its factorization.

10181216500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11835 (or 11823 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 25.

The spelling of 10181216500 in words is "ten billion, one hundred eighty-one million, two hundred sixteen thousand, five hundred".