166020248739072 has 1152 divisors, whose sum is σ = 560658865536000. Its totient is φ = 42453738455040.

The previous prime is 166020248739053. The next prime is 166020248739083. The reversal of 166020248739072 is 270937842020661.

It is a congruent number.

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, 215891090304 + ... + 215891091072.

It is an arithmetic number, because the mean of its divisors is an integer number (486683043000).

Almost surely, 2^{166020248739072} is an apocalyptic number.

166020248739072 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 166020248739072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280329432768000).

166020248739072 is an abundant number, since it is smaller than the sum of its proper divisors (394638616796928).

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

166020248739072 is a wasteful number, since it uses less digits than its factorization.

166020248739072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 166020248739072 in words is "one hundred sixty-six trillion, twenty billion, two hundred forty-eight million, seven hundred thirty-nine thousand, seventy-two".