10229906641680 has 240 divisors, whose sum is σ = 37617991669440. Its totient is φ = 2470757606400.

The previous prime is 10229906641679. The next prime is 10229906641681. The reversal of 10229906641680 is 8614660992201.

10229906641680 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 9 + 90 + 66 + 416 + 80 = 666.

10229906641680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10229906641679) and next prime (10229906641681).

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

It is not an unprimeable number, because it can be changed into a prime (10229906641681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270366 + ... + 4531325.

It is an arithmetic number, because the mean of its divisors is an integer number (156741631956).

Almost surely, 2^{10229906641680} is an apocalyptic number.

10229906641680 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 10229906641680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18808995834720).

10229906641680 is an abundant number, since it is smaller than the sum of its proper divisors (27388085027760).

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

10229906641680 is a wasteful number, since it uses less digits than its factorization.

10229906641680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4801990 (or 4801981 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 10229906641680 in words is "ten trillion, two hundred twenty-nine billion, nine hundred six million, six hundred forty-one thousand, six hundred eighty".