16581673920 has 448 divisors, whose sum is σ = 64403020800. Its totient is φ = 3530096640.

The previous prime is 16581673919. The next prime is 16581673921. The reversal of 16581673920 is 2937618561.

It is an interprime number because it is at equal distance from previous prime (16581673919) and next prime (16581673921).

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16581673920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16581673921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7787416 + ... + 7789544.

Almost surely, 2^16581673920 is an apocalyptic number.

16581673920 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 16581673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32201510400).

16581673920 is an abundant number, since it is smaller than the sum of its proper divisors (47821346880).

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

16581673920 is a wasteful number, since it uses less digits than its factorization.

16581673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 16581673920 in words is "sixteen billion, five hundred eighty-one million, six hundred seventy-three thousand, nine hundred twenty".