16681109760 has 576 divisors, whose sum is σ = 68980584960. Its totient is φ = 3738009600.

The previous prime is 16681109759. The next prime is 16681109761. The reversal of 16681109760 is 6790118661.

It is an interprime number because it is at equal distance from previous prime (16681109759) and next prime (16681109761).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (16681109761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12821110 + ... + 12822410.

It is an arithmetic number, because the mean of its divisors is an integer number (119757960).

Almost surely, 2^16681109760 is an apocalyptic number.

16681109760 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 16681109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34490292480).

16681109760 is an abundant number, since it is smaller than the sum of its proper divisors (52299475200).

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

16681109760 is a wasteful number, since it uses less digits than its factorization.

16681109760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 16681109760 in words is "sixteen billion, six hundred eighty-one million, one hundred nine thousand, seven hundred sixty".