16105961760 has 384 divisors, whose sum is σ = 59396198400. Its totient is φ = 3592581120.

The previous prime is 16105961741. The next prime is 16105961779. The reversal of 16105961760 is 6716950161.

It is an interprime number because it is at equal distance from previous prime (16105961741) and next prime (16105961779).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36687621 + ... + 36688059.

It is an arithmetic number, because the mean of its divisors is an integer number (154677600).

Almost surely, 2^16105961760 is an apocalyptic number.

16105961760 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 16105961760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29698099200).

16105961760 is an abundant number, since it is smaller than the sum of its proper divisors (43290236640).

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

16105961760 is a wasteful number, since it uses less digits than its factorization.

16105961760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 16105961760 in words is "sixteen billion, one hundred five million, nine hundred sixty-one thousand, seven hundred sixty".