16400830752 has 240 divisors, whose sum is σ = 51254917560. Its totient is φ = 5134897152.

The previous prime is 16400830751. The next prime is 16400830757. The reversal of 16400830752 is 25703800461.

16400830752 is a `hidden beast` number, since 1 + 640 + 0 + 8 + 3 + 0 + 7 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16250130576 + 150700176 = 127476^2 + 12276^2 .

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

It is not an unprimeable number, because it can be changed into a prime (16400830751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2778268 + ... + 2784164.

Almost surely, 2^16400830752 is an apocalyptic number.

16400830752 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 16400830752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25627458780).

16400830752 is an abundant number, since it is smaller than the sum of its proper divisors (34854086808).

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

16400830752 is a wasteful number, since it uses less digits than its factorization.

16400830752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5985 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 16400830752 in words is "sixteen billion, four hundred million, eight hundred thirty thousand, seven hundred fifty-two".