16165094400 has 1056 divisors, whose sum is σ = 73346138880. Its totient is φ = 3397386240.

The previous prime is 16165094399. The next prime is 16165094411. The reversal of 16165094400 is 449056161.

16165094400 is a `hidden beast` number, since 1 + 6 + 165 + 0 + 94 + 400 = 666.

It is a super-2 number, since 2×16165094400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62899072 + ... + 62899328.

Almost surely, 2^16165094400 is an apocalyptic number.

16165094400 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 16165094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36673069440).

16165094400 is an abundant number, since it is smaller than the sum of its proper divisors (57181044480).

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

16165094400 is a wasteful number, since it uses less digits than its factorization.

16165094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 16165094400 in words is "sixteen billion, one hundred sixty-five million, ninety-four thousand, four hundred".