15984723648100 has 81 divisors (see below), whose sum is σ = 36262630946073. Its totient is φ = 6115542433440.

The previous prime is 15984723648071. The next prime is 15984723648107. The reversal of 15984723648100 is 184632748951.

The square root of 15984723648100 is 3998090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5754500513316 + 10230223134784 = 2398854^2 + 3198472^2 .

It is a super-2 number, since 2×15984723648100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15984723648107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 919552009 + ... + 919569391.

It is a 1-persistent number, because it is pandigital, but 2⋅15984723648100 = 31969447296200 is not.

Almost surely, 2^{15984723648100} is an apocalyptic number.

15984723648100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15984723648100 is the 3998090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15984723648100

15984723648100 is an abundant number, since it is smaller than the sum of its proper divisors (20277907297973).

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

15984723648100 is an frugal number, since it uses more digits than its factorization.

15984723648100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34826 (or 17413 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 15984723648100 in words is "fifteen trillion, nine hundred eighty-four billion, seven hundred twenty-three million, six hundred forty-eight thousand, one hundred".