10510240000 has 360 divisors, whose sum is σ = 29322013952. Its totient is φ = 3732480000.

The previous prime is 10510239989. The next prime is 10510240033. The reversal of 10510240000 is 4201501.

It is a super-2 number, since 2×10510240000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 39 ways as a sum of consecutive naturals, for example, 64479919 + ... + 64480081.

Almost surely, 2^10510240000 is an apocalyptic number.

10510240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10510240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14661006976).

10510240000 is an abundant number, since it is smaller than the sum of its proper divisors (18811773952).

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

10510240000 is an equidigital number, since it uses as much as digits as its factorization.

10510240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

Adding to 10510240000 its reverse (4201501), we get a palindrome (10514441501).

The spelling of 10510240000 in words is "ten billion, five hundred ten million, two hundred forty thousand".