16270742880 has 288 divisors, whose sum is σ = 63638265600. Its totient is φ = 3708343296.

The previous prime is 16270742843. The next prime is 16270742881. The reversal of 16270742880 is 8824707261.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16270742881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3818191 + ... + 3822449.

It is an arithmetic number, because the mean of its divisors is an integer number (220966200).

Almost surely, 2^16270742880 is an apocalyptic number.

16270742880 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 16270742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31819132800).

16270742880 is an abundant number, since it is smaller than the sum of its proper divisors (47367522720).

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

16270742880 is a wasteful number, since it uses less digits than its factorization.

16270742880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 16270742880 in words is "sixteen billion, two hundred seventy million, seven hundred forty-two thousand, eight hundred eighty".