1006552466172 has 288 divisors, whose sum is σ = 2963969648640. Its totient is φ = 284815440000.

The previous prime is 1006552466111. The next prime is 1006552466173. The reversal of 1006552466172 is 2716642556001.

1006552466172 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 5 + 5 + 24 + 6 + 617 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006552466173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148828863 + ... + 148835625.

It is an arithmetic number, because the mean of its divisors is an integer number (10291561280).

Almost surely, 2^{1006552466172} is an apocalyptic number.

1006552466172 is a gapful number since it is divisible by the number (12) 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 1006552466172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481984824320).

1006552466172 is an abundant number, since it is smaller than the sum of its proper divisors (1957417182468).

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

1006552466172 is a wasteful number, since it uses less digits than its factorization.

1006552466172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7085 (or 7080 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1006552466172 in words is "one trillion, six billion, five hundred fifty-two million, four hundred sixty-six thousand, one hundred seventy-two".