16242706742560 has 96 divisors (see below), whose sum is σ = 40402693900800. Its totient is φ = 6153660979200.

The previous prime is 16242706742557. The next prime is 16242706742573. The reversal of 16242706742560 is 6524760724261.

It is a super-2 number, since 2×16242706742560² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16242706742498 and 16242706742507.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12135121 + ... + 13406959.

It is an arithmetic number, because the mean of its divisors is an integer number (420861394800).

Almost surely, 2^{16242706742560} is an apocalyptic number.

16242706742560 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 16242706742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20201346950400).

16242706742560 is an abundant number, since it is smaller than the sum of its proper divisors (24159987158240).

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

16242706742560 is a wasteful number, since it uses less digits than its factorization.

16242706742560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276074 (or 1276066 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 52.

The spelling of 16242706742560 in words is "sixteen trillion, two hundred forty-two billion, seven hundred six million, seven hundred forty-two thousand, five hundred sixty".