16418798588400 has 480 divisors, whose sum is σ = 58428201689088. Its totient is φ = 3914965094400.

The previous prime is 16418798588377. The next prime is 16418798588411. The reversal of 16418798588400 is 488589781461.

It is a super-2 number, since 2×16418798588400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130961745 + ... + 131087055.

Almost surely, 2^{16418798588400} is an apocalyptic number.

16418798588400 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 16418798588400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29214100844544).

16418798588400 is an abundant number, since it is smaller than the sum of its proper divisors (42009403100688).

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

16418798588400 is a wasteful number, since it uses less digits than its factorization.

16418798588400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125609 (or 125598 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 69.

The spelling of 16418798588400 in words is "sixteen trillion, four hundred eighteen billion, seven hundred ninety-eight million, five hundred eighty-eight thousand, four hundred".