100016475586560 has 720 divisors, whose sum is σ = 373641110125920. Its totient is φ = 24602455572480.

The previous prime is 100016475586481. The next prime is 100016475586567. The reversal of 100016475586560 is 65685574610001.

100016475586560 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 6 + 4 + 7 + 5 + 586 + 56 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100016475586497 and 100016475586506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100016475586567) 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, 19274708446 + ... + 19274713634.

It is an arithmetic number, because the mean of its divisors is an integer number (518945986286).

Almost surely, 2^{100016475586560} is an apocalyptic number.

100016475586560 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 100016475586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186820555062960).

100016475586560 is an abundant number, since it is smaller than the sum of its proper divisors (273624634539360).

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

100016475586560 is a wasteful number, since it uses less digits than its factorization.

100016475586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7252 (or 7223 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 100016475586560 in words is "one hundred trillion, sixteen billion, four hundred seventy-five million, five hundred eighty-six thousand, five hundred sixty".