10215255240 has 192 divisors, whose sum is σ = 33663006000. Its totient is φ = 2686334976.

The previous prime is 10215255233. The next prime is 10215255317. The reversal of 10215255240 is 4255251201.

10215255240 is a `hidden beast` number, since 1 + 0 + 21 + 52 + 552 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 99321156 + 10115934084 = 9966^2 + 100578^2 .

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 47 ways as a sum of consecutive naturals, for example, 8420874 + ... + 8422086.

Almost surely, 2^10215255240 is an apocalyptic number.

10215255240 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 10215255240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16831503000).

10215255240 is an abundant number, since it is smaller than the sum of its proper divisors (23447750760).

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

10215255240 is a wasteful number, since it uses less digits than its factorization.

10215255240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 10215255240 in words is "ten billion, two hundred fifteen million, two hundred fifty-five thousand, two hundred forty".