16007452504100 has 144 divisors (see below), whose sum is σ = 35307025362000. Its totient is φ = 6298570629120.

The previous prime is 16007452504079. The next prime is 16007452504103. The reversal of 16007452504100 is 140525470061.

It can be written as a sum of positive squares in 24 ways, for example, as 13659987267364 + 2347465236736 = 3695942^2 + 1532144^2 .

It is not an unprimeable number, because it can be changed into a prime (16007452504103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1608945926 + ... + 1608955874.

It is an arithmetic number, because the mean of its divisors is an integer number (245187676125).

Almost surely, 2^{16007452504100} is an apocalyptic number.

16007452504100 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 16007452504100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17653512681000).

16007452504100 is an abundant number, since it is smaller than the sum of its proper divisors (19299572857900).

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

16007452504100 is a wasteful number, since it uses less digits than its factorization.

16007452504100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10962 (or 10955 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

Adding to 16007452504100 its reverse (140525470061), we get a palindrome (16147977974161).

The spelling of 16007452504100 in words is "sixteen trillion, seven billion, four hundred fifty-two million, five hundred four thousand, one hundred".