100427417825280 has 832 divisors, whose sum is σ = 398371002882048. Its totient is φ = 21034256302080.

The previous prime is 100427417825237. The next prime is 100427417825347. The reversal of 100427417825280 is 82528714724001.

It is a tau number, because it is divible by the number of its divisors (832).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 765906925 + ... + 766038035.

Almost surely, 2^{100427417825280} is an apocalyptic number.

100427417825280 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 100427417825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199185501441024).

100427417825280 is an abundant number, since it is smaller than the sum of its proper divisors (297943585056768).

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

100427417825280 is a wasteful number, since it uses less digits than its factorization.

100427417825280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131300 (or 131278 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 51.

The spelling of 100427417825280 in words is "one hundred trillion, four hundred twenty-seven billion, four hundred seventeen million, eight hundred twenty-five thousand, two hundred eighty".