10262536535460 has 768 divisors, whose sum is σ = 34232944951296. Its totient is φ = 2273356800000.

The previous prime is 10262536535411. The next prime is 10262536535501. The reversal of 10262536535460 is 6453563526201.

It is a happy number.

It is a super-2 number, since 2×10262536535460² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3108915810 + ... + 3108919110.

It is an arithmetic number, because the mean of its divisors is an integer number (44574147072).

Almost surely, 2^{10262536535460} is an apocalyptic number.

10262536535460 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 10262536535460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17116472475648).

10262536535460 is an abundant number, since it is smaller than the sum of its proper divisors (23970408415836).

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

10262536535460 is a wasteful number, since it uses less digits than its factorization.

10262536535460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 10262536535460 in words is "ten trillion, two hundred sixty-two billion, five hundred thirty-six million, five hundred thirty-five thousand, four hundred sixty".