952872727104 has 189 divisors, whose sum is σ = 2768328080427. Its totient is φ = 313368219648.

The previous prime is 952872727091. The next prime is 952872727127. The reversal of 952872727104 is 401727278259.

The square root of 952872727104 is 976152.

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

952872727104 is a `hidden beast` number, since 9 + 528 + 7 + 2 + 7 + 2 + 7 + 104 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5661057600 + 947211669504 = 75240^2 + 973248^2 .

It is a super-2 number, since 2×952872727104² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2085060444 + ... + 2085060900.

Almost surely, 2^952872727104 is an apocalyptic number.

952872727104 is the 976152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 952872727104

952872727104 is an abundant number, since it is smaller than the sum of its proper divisors (1815455353323).

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

952872727104 is an frugal number, since it uses more digits than its factorization.

952872727104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 952872727104 in words is "nine hundred fifty-two billion, eight hundred seventy-two million, seven hundred twenty-seven thousand, one hundred four".