10213263540 has 96 divisors (see below), whose sum is σ = 31869452160. Its totient is φ = 2715406848.

The previous prime is 10213263509. The next prime is 10213263559. The reversal of 10213263540 is 4536231201.

10213263540 is a `hidden beast` number, since 1 + 0 + 21 + 3 + 2 + 635 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153919 + ... + 210041.

It is an arithmetic number, because the mean of its divisors is an integer number (331973460).

Almost surely, 2^10213263540 is an apocalyptic number.

10213263540 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 10213263540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15934726080).

10213263540 is an abundant number, since it is smaller than the sum of its proper divisors (21656188620).

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

10213263540 is a wasteful number, since it uses less digits than its factorization.

10213263540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56478 (or 56470 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10213263540 its reverse (4536231201), we get a palindrome (14749494741).

The spelling of 10213263540 in words is "ten billion, two hundred thirteen million, two hundred sixty-three thousand, five hundred forty".