16831311840 has 768 divisors, whose sum is σ = 70785792000. Its totient is φ = 3730987008.

The previous prime is 16831311829. The next prime is 16831311869. The reversal of 16831311840 is 4811313861.

16831311840 is a `hidden beast` number, since 168 + 313 + 1 + 184 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16831311795 and 16831311804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54824967 + ... + 54825273.

It is an arithmetic number, because the mean of its divisors is an integer number (92169000).

Almost surely, 2^16831311840 is an apocalyptic number.

16831311840 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 16831311840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35392896000).

16831311840 is an abundant number, since it is smaller than the sum of its proper divisors (53954480160).

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

16831311840 is a wasteful number, since it uses less digits than its factorization.

16831311840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 16831311840 in words is "sixteen billion, eight hundred thirty-one million, three hundred eleven thousand, eight hundred forty".