10216718038800 has 480 divisors, whose sum is σ = 44755632956160. Its totient is φ = 2155615027200.

The previous prime is 10216718038759. The next prime is 10216718038801. The reversal of 10216718038800 is 883081761201.

It is a happy number.

10216718038800 is a `hidden beast` number, since 10 + 21 + 67 + 180 + 388 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10216718038801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4214961 + ... + 6180560.

It is an arithmetic number, because the mean of its divisors is an integer number (93240901992).

Almost surely, 2^{10216718038800} is an apocalyptic number.

10216718038800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10216718038800 is an abundant number, since it is smaller than the sum of its proper divisors (34538914917360).

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

10216718038800 is a wasteful number, since it uses less digits than its factorization.

10216718038800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10395568 (or 10395551 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 10216718038800 in words is "ten trillion, two hundred sixteen billion, seven hundred eighteen million, thirty-eight thousand, eight hundred".