12893313510 has 240 divisors, whose sum is σ = 43553065248. Its totient is φ = 2678987520.

The previous prime is 12893313497. The next prime is 12893313539. The reversal of 12893313510 is 1531339821.

12893313510 is a `hidden beast` number, since 1 + 28 + 93 + 31 + 3 + 510 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 676674 + ... + 695466.

Almost surely, 2^12893313510 is an apocalyptic number.

12893313510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12893313510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21776532624).

12893313510 is an abundant number, since it is smaller than the sum of its proper divisors (30659751738).

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

12893313510 is a wasteful number, since it uses less digits than its factorization.

12893313510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18841 (or 18821 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 12893313510 in words is "twelve billion, eight hundred ninety-three million, three hundred thirteen thousand, five hundred ten".