16813250211840 has 416 divisors, whose sum is σ = 55159457379840. Its totient is φ = 4370311938048.

The previous prime is 16813250211811. The next prime is 16813250211841. The reversal of 16813250211840 is 4811205231861.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 16813250211792 and 16813250211801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16813250211841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1344731029 + ... + 1344743531.

Almost surely, 2^{16813250211840} is an apocalyptic number.

16813250211840 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 16813250211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27579728689920).

16813250211840 is an abundant number, since it is smaller than the sum of its proper divisors (38346207168000).

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

16813250211840 is a wasteful number, since it uses less digits than its factorization.

16813250211840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13087 (or 13065 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 16813250211840 in words is "sixteen trillion, eight hundred thirteen billion, two hundred fifty million, two hundred eleven thousand, eight hundred forty".