16885084910400 has 1680 divisors, whose sum is σ = 74720304102400. Its totient is φ = 3734644838400.

The previous prime is 16885084910381. The next prime is 16885084910401. The reversal of 16885084910400 is 401948058861.

It is a happy number.

16885084910400 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 508 + 4 + 91 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16885084910401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1378030674 + ... + 1378042926.

Almost surely, 2^{16885084910400} is an apocalyptic number.

16885084910400 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 16885084910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37360152051200).

16885084910400 is an abundant number, since it is smaller than the sum of its proper divisors (57835219192000).

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

16885084910400 is a wasteful number, since it uses less digits than its factorization.

16885084910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12339 (or 12301 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 16885084910400 in words is "sixteen trillion, eight hundred eighty-five billion, eighty-four million, nine hundred ten thousand, four hundred".