3059148166272 has 1024 divisors, whose sum is σ = 10457542656000. Its totient is φ = 882806169600.

The previous prime is 3059148166267. The next prime is 3059148166297. The reversal of 3059148166272 is 2726618419503.

It is a happy number.

3059148166272 is a `hidden beast` number, since 3 + 0 + 5 + 9 + 1 + 4 + 8 + 1 + 6 + 627 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6968446629 + ... + 6968447067.

It is an arithmetic number, because the mean of its divisors is an integer number (10212444000).

It is a 1-persistent number, because it is pandigital, but 2⋅3059148166272 = 6118296332544 is not.

Almost surely, 2^{3059148166272} is an apocalyptic number.

3059148166272 is a gapful number since it is divisible by the number (32) 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 3059148166272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228771328000).

3059148166272 is an abundant number, since it is smaller than the sum of its proper divisors (7398394489728).

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

3059148166272 is an equidigital number, since it uses as much as digits as its factorization.

3059148166272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3059148166272 in words is "three trillion, fifty-nine billion, one hundred forty-eight million, one hundred sixty-six thousand, two hundred seventy-two".