16772353000 has 256 divisors, whose sum is σ = 46313467200. Its totient is φ = 5625446400.

The previous prime is 16772352991. The next prime is 16772353007. The reversal of 16772353000 is 35327761.

It can be written as a sum of positive squares in 32 ways, for example, as 1725405444 + 15046947556 = 41538^2 + 122666^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (16772353007) 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, 6407692 + ... + 6410308.

Almost surely, 2^16772353000 is an apocalyptic number.

16772353000 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 16772353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23156733600).

16772353000 is an abundant number, since it is smaller than the sum of its proper divisors (29541114200).

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

16772353000 is a wasteful number, since it uses less digits than its factorization.

16772353000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 34.

The spelling of 16772353000 in words is "sixteen billion, seven hundred seventy-two million, three hundred fifty-three thousand".