10242616768000 has 160 divisors (see below), whose sum is σ = 25900343396928. Its totient is φ = 4039340032000.

The previous prime is 10242616767989. The next prime is 10242616768009. The reversal of 10242616768000 is 86761624201.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10242616768000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242616768009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3416952 + ... + 5671048.

Almost surely, 2^{10242616768000} is an apocalyptic number.

10242616768000 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 10242616768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12950171698464).

10242616768000 is an abundant number, since it is smaller than the sum of its proper divisors (15657726628928).

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

10242616768000 is an frugal number, since it uses more digits than its factorization.

10242616768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254201 (or 2254175 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 10242616768000 in words is "ten trillion, two hundred forty-two billion, six hundred sixteen million, seven hundred sixty-eight thousand".