100766250720000 has 720 divisors, whose sum is σ = 391958445648000. Its totient is φ = 25456716288000.

The previous prime is 100766250719999. The next prime is 100766250720017. The reversal of 100766250720000 is 27052667001.

100766250720000 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 6 + 625 + 0 + 7 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81466171 + ... + 82693829.

Almost surely, 2^{100766250720000} is an apocalyptic number.

100766250720000 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 100766250720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195979222824000).

100766250720000 is an abundant number, since it is smaller than the sum of its proper divisors (291192194928000).

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

100766250720000 is an equidigital number, since it uses as much as digits as its factorization.

100766250720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227723 (or 1227688 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 100766250720000 in words is "one hundred trillion, seven hundred sixty-six billion, two hundred fifty million, seven hundred twenty thousand".