16081735680 has 416 divisors, whose sum is σ = 57874329600. Its totient is φ = 4236115968.

The previous prime is 16081735613. The next prime is 16081735687. The reversal of 16081735680 is 8653718061.

16081735680 is a `hidden beast` number, since 1 + 6 + 0 + 81 + 7 + 3 + 568 + 0 = 666.

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 (16081735687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70225806 + ... + 70226034.

Almost surely, 2^16081735680 is an apocalyptic number.

16081735680 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 16081735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28937164800).

16081735680 is an abundant number, since it is smaller than the sum of its proper divisors (41792593920).

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

16081735680 is a wasteful number, since it uses less digits than its factorization.

16081735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 16081735680 in words is "sixteen billion, eighty-one million, seven hundred thirty-five thousand, six hundred eighty".