16165598400 has 252 divisors, whose sum is σ = 65664813552. Its totient is φ = 3694970880.

The previous prime is 16165598381. The next prime is 16165598429. The reversal of 16165598400 is 489556161.

16165598400 is a `hidden beast` number, since 1 + 6 + 16 + 5 + 598 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×16165598400² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20614 + ... + 180986.

Almost surely, 2^16165598400 is an apocalyptic number.

16165598400 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 16165598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32832406776).

16165598400 is an abundant number, since it is smaller than the sum of its proper divisors (49499215152).

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

16165598400 is a wasteful number, since it uses less digits than its factorization.

16165598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160408 (or 160390 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 16165598400 in words is "sixteen billion, one hundred sixty-five million, five hundred ninety-eight thousand, four hundred".