10253743679424 has 448 divisors, whose sum is σ = 33064212418560. Its totient is φ = 2741909667840.

The previous prime is 10253743679407. The next prime is 10253743679471. The reversal of 10253743679424 is 42497634735201.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390799234 + ... + 390825470.

Almost surely, 2^{10253743679424} is an apocalyptic number.

10253743679424 is a gapful number since it is divisible by the number (14) 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 10253743679424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16532106209280).

10253743679424 is an abundant number, since it is smaller than the sum of its proper divisors (22810468739136).

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

10253743679424 is a wasteful number, since it uses less digits than its factorization.

10253743679424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26596 (or 26586 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 57.

The spelling of 10253743679424 in words is "ten trillion, two hundred fifty-three billion, seven hundred forty-three million, six hundred seventy-nine thousand, four hundred twenty-four".