16557005952 has 288 divisors, whose sum is σ = 50486190300. Its totient is φ = 5207347200.

The previous prime is 16557005909. The next prime is 16557005953. The reversal of 16557005952 is 25950075561.

16557005952 is a `hidden beast` number, since 1 + 6 + 5 + 57 + 0 + 0 + 595 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16542075456 + 14930496 = 128616^2 + 3864^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 16557005898 and 16557005907.

It is not an unprimeable number, because it can be changed into a prime (16557005953) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61550074 + ... + 61550342.

Almost surely, 2^16557005952 is an apocalyptic number.

16557005952 is a gapful number since it is divisible by the number (12) 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 16557005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25243095150).

16557005952 is an abundant number, since it is smaller than the sum of its proper divisors (33929184348).

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

16557005952 is a wasteful number, since it uses less digits than its factorization.

16557005952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The spelling of 16557005952 in words is "sixteen billion, five hundred fifty-seven million, five thousand, nine hundred fifty-two".