16213380480 has 576 divisors, whose sum is σ = 63086783760. Its totient is φ = 3832012800.

The previous prime is 16213380431. The next prime is 16213380497. The reversal of 16213380480 is 8408331261.

16213380480 is a `hidden beast` number, since 162 + 13 + 3 + 8 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29969010 + ... + 29969550.

Almost surely, 2^16213380480 is an apocalyptic number.

16213380480 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 16213380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31543391880).

16213380480 is an abundant number, since it is smaller than the sum of its proper divisors (46873403280).

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

16213380480 is a wasteful number, since it uses less digits than its factorization.

16213380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

It can be divided in two parts, 16213 and 380480, that added together give a palindrome (396693).

The spelling of 16213380480 in words is "sixteen billion, two hundred thirteen million, three hundred eighty thousand, four hundred eighty".