10511240000 has 70 divisors (see below), whose sum is σ = 26064558234. Its totient is φ = 4204480000.

The previous prime is 10511239897. The next prime is 10511240017. The reversal of 10511240000 is 4211501.

It can be written as a sum of positive squares in 5 ways, for example, as 3484777024 + 7026462976 = 59032^2 + 83824^2 .

It is a super-2 number, since 2×10511240000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 91391 + ... + 171390.

Almost surely, 2^10511240000 is an apocalyptic number.

10511240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10511240000 is an abundant number, since it is smaller than the sum of its proper divisors (15553318234).

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

10511240000 is an frugal number, since it uses more digits than its factorization.

10511240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262813 (or 262788 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

Adding to 10511240000 its reverse (4211501), we get a palindrome (10515451501).

The spelling of 10511240000 in words is "ten billion, five hundred eleven million, two hundred forty thousand".