16742172700 has 144 divisors (see below), whose sum is σ = 41467658400. Its totient is φ = 5811097600.

The previous prime is 16742172691. The next prime is 16742172709. The reversal of 16742172700 is 727124761.

16742172700 = T₂₉₉ + T₃₀₀ + ... + T₄₆₄₈.

16742172700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16742172691) and next prime (16742172709).

It is a self number, because there is not a number n which added to its sum of digits gives 16742172700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16742172709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2836152 + ... + 2842048.

It is an arithmetic number, because the mean of its divisors is an integer number (287969850).

Almost surely, 2^16742172700 is an apocalyptic number.

16742172700 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 16742172700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20733829200).

16742172700 is an abundant number, since it is smaller than the sum of its proper divisors (24725485700).

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

16742172700 is a wasteful number, since it uses less digits than its factorization.

16742172700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6040 (or 6033 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 37.

The spelling of 16742172700 in words is "sixteen billion, seven hundred forty-two million, one hundred seventy-two thousand, seven hundred".