10509215371264 has 91 divisors (see below), whose sum is σ = 21599639044117. Its totient is φ = 5112591261696.

The previous prime is 10509215371247. The next prime is 10509215371267. The reversal of 10509215371264 is 46217351290501.

The square root of 10509215371264 is 3241792.

The cubic root of 10509215371264 is 21904.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 3155312742400 + 7353902628864 = 1776320^2 + 2711808^2 .

It is a super-2 number, since 2×10509215371264² (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 (10509215371267) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 284032847854 + ... + 284032847890.

Almost surely, 2^{10509215371264} is an apocalyptic number.

10509215371264 is the 3241792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10509215371264

10509215371264 is an abundant number, since it is smaller than the sum of its proper divisors (11090423672853).

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

10509215371264 is an frugal number, since it uses more digits than its factorization.

10509215371264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

It can be divided in two parts, 105092 and 15371264, that added together give a square (15476356 = 3934²).

The spelling of 10509215371264 in words is "ten trillion, five hundred nine billion, two hundred fifteen million, three hundred seventy-one thousand, two hundred sixty-four".