1006817613120 has 504 divisors, whose sum is σ = 3929306035200. Its totient is φ = 236201011200.

The previous prime is 1006817613029. The next prime is 1006817613157. The reversal of 1006817613120 is 213167186001.

1006817613120 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 8 + 17 + 613 + 1 + 20 = 666.

It is a super-2 number, since 2×1006817613120² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10756281 + ... + 10849479.

Almost surely, 2^{1006817613120} is an apocalyptic number.

1006817613120 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 1006817613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964653017600).

1006817613120 is an abundant number, since it is smaller than the sum of its proper divisors (2922488422080).

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

1006817613120 is a wasteful number, since it uses less digits than its factorization.

1006817613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93275 (or 93251 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1006817613120 in words is "one trillion, six billion, eight hundred seventeen million, six hundred thirteen thousand, one hundred twenty".