100066679872000 has 320 divisors, whose sum is σ = 258654817175040. Its totient is φ = 38567380992000.

The previous prime is 100066679871967. The next prime is 100066679872039. The reversal of 100066679872000 is 278976660001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 911241097 + ... + 911350903.

It is an arithmetic number, because the mean of its divisors is an integer number (808296303672).

Almost surely, 2^{100066679872000} is an apocalyptic number.

100066679872000 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 100066679872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129327408587520).

100066679872000 is an abundant number, since it is smaller than the sum of its proper divisors (158588137303040).

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

100066679872000 is an equidigital number, since it uses as much as digits as its factorization.

100066679872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110360 (or 110334 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 100066679872000 in words is "one hundred trillion, sixty-six billion, six hundred seventy-nine million, eight hundred seventy-two thousand".