16557628416 has 264 divisors, whose sum is σ = 53121615120. Its totient is φ = 4566417408.

The previous prime is 16557628411. The next prime is 16557628433. The reversal of 16557628416 is 61482675561.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16557628411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4363416 + ... + 4367208.

Almost surely, 2^16557628416 is an apocalyptic number.

16557628416 is a gapful number since it is divisible by the number (16) 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 16557628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26560807560).

16557628416 is an abundant number, since it is smaller than the sum of its proper divisors (36563986704).

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

16557628416 is a wasteful number, since it uses less digits than its factorization.

16557628416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859 (or 3834 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 51.

The spelling of 16557628416 in words is "sixteen billion, five hundred fifty-seven million, six hundred twenty-eight thousand, four hundred sixteen".