16158105600 has 1008 divisors, whose sum is σ = 69850820928. Its totient is φ = 3208642560.

The previous prime is 16158105581. The next prime is 16158105611. The reversal of 16158105600 is 650185161.

It is a super-2 number, since 2×16158105600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 950476792 + ... + 950476808.

Almost surely, 2^16158105600 is an apocalyptic number.

16158105600 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 16158105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34925410464).

16158105600 is an abundant number, since it is smaller than the sum of its proper divisors (53692715328).

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

16158105600 is a wasteful number, since it uses less digits than its factorization.

16158105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The spelling of 16158105600 in words is "sixteen billion, one hundred fifty-eight million, one hundred five thousand, six hundred".