16834970880 has 1152 divisors, whose sum is σ = 75656125440. Its totient is φ = 3450470400.

The previous prime is 16834970879. The next prime is 16834970899. The reversal of 16834970880 is 8807943861.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 166682830 + ... + 166682930.

It is an arithmetic number, because the mean of its divisors is an integer number (65673720).

Almost surely, 2^16834970880 is an apocalyptic number.

16834970880 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 16834970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37828062720).

16834970880 is an abundant number, since it is smaller than the sum of its proper divisors (58821154560).

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

16834970880 is a wasteful number, since it uses less digits than its factorization.

16834970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 16834970880 in words is "sixteen billion, eight hundred thirty-four million, nine hundred seventy thousand, eight hundred eighty".