16215564288 has 672 divisors, whose sum is σ = 58569880320. Its totient is φ = 3892838400.

The previous prime is 16215564283. The next prime is 16215564349. The reversal of 16215564288 is 88246551261.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16215564283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395501548 + ... + 395501588.

It is an arithmetic number, because the mean of its divisors is an integer number (87157560).

Almost surely, 2^16215564288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16215564288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29284940160).

16215564288 is an abundant number, since it is smaller than the sum of its proper divisors (42354316032).

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

16215564288 is a wasteful number, since it uses less digits than its factorization.

16215564288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its digits is 921600, while the sum is 48.

It can be divided in two parts, 16215 and 564288, that added together give a triangular number (580503 = T₁₀₇₇).

The spelling of 16215564288 in words is "sixteen billion, two hundred fifteen million, five hundred sixty-four thousand, two hundred eighty-eight".