16065257503680 has 2688 divisors, whose sum is σ = 72304607232000. Its totient is φ = 3178400808960.

The previous prime is 16065257503679. The next prime is 16065257503681. The reversal of 16065257503680 is 8630575256061.

It is a happy number.

16065257503680 is a `hidden beast` number, since 1 + 6 + 0 + 6 + 5 + 2 + 57 + 503 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (16065257503679) and next prime (16065257503681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16065257503681) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 89750041831 + ... + 89750042009.

Almost surely, 2^{16065257503680} is an apocalyptic number.

16065257503680 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 16065257503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36152303616000).

16065257503680 is an abundant number, since it is smaller than the sum of its proper divisors (56239349728320).

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

16065257503680 is a wasteful number, since it uses less digits than its factorization.

16065257503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 16065257503680 in words is "sixteen trillion, sixty-five billion, two hundred fifty-seven million, five hundred three thousand, six hundred eighty".