10248702324640 has 96 divisors (see below), whose sum is σ = 26779795454160. Its totient is φ = 3681862262784.

The previous prime is 10248702324629. The next prime is 10248702324649. The reversal of 10248702324640 is 4642320784201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2978150935824 + 7270551388816 = 1725732^2 + 2696396^2 .

It is a super-2 number, since 2×10248702324640² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10248702324649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66507645 + ... + 66661564.

Almost surely, 2^{10248702324640} is an apocalyptic number.

10248702324640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10248702324640 is an abundant number, since it is smaller than the sum of its proper divisors (16531093129520).

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

10248702324640 is a wasteful number, since it uses less digits than its factorization.

10248702324640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133169274 (or 133169266 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 43.

The spelling of 10248702324640 in words is "ten trillion, two hundred forty-eight billion, seven hundred two million, three hundred twenty-four thousand, six hundred forty".