16116752242240 has 224 divisors, whose sum is σ = 42313154083200. Its totient is φ = 5809411915776.

The previous prime is 16116752242229. The next prime is 16116752242259. The reversal of 16116752242240 is 4224225761161.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362567536 + ... + 362611984.

It is an arithmetic number, because the mean of its divisors is an integer number (188898009300).

Almost surely, 2^{16116752242240} is an apocalyptic number.

16116752242240 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 16116752242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21156577041600).

16116752242240 is an abundant number, since it is smaller than the sum of its proper divisors (26196401840960).

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

16116752242240 is a wasteful number, since it uses less digits than its factorization.

16116752242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46549 (or 46539 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 16116752242240 in words is "sixteen trillion, one hundred sixteen billion, seven hundred fifty-two million, two hundred forty-two thousand, two hundred forty".