16853657936940 has 384 divisors, whose sum is σ = 61346910643200. Its totient is φ = 3797663201280.

The previous prime is 16853657936917. The next prime is 16853657936957. The reversal of 16853657936940 is 4963975635861.

16853657936940 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 3 + 6 + 579 + 3 + 6 + 9 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4572784 + ... + 7390376.

It is an arithmetic number, because the mean of its divisors is an integer number (159757579800).

Almost surely, 2^{16853657936940} is an apocalyptic number.

16853657936940 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 16853657936940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30673455321600).

16853657936940 is an abundant number, since it is smaller than the sum of its proper divisors (44493252706260).

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

16853657936940 is a wasteful number, since it uses less digits than its factorization.

16853657936940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817694 (or 2817686 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 16853657936940 in words is "sixteen trillion, eight hundred fifty-three billion, six hundred fifty-seven million, nine hundred thirty-six thousand, nine hundred forty".