10238896813824 has 1440 divisors, whose sum is σ = 38771539107840. Its totient is φ = 2618556678144.

The previous prime is 10238896813793. The next prime is 10238896813919. The reversal of 10238896813824 is 42831869883201.

10238896813824 is a `hidden beast` number, since 10 + 2 + 3 + 88 + 96 + 81 + 382 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12656237932 + ... + 12656238740.

It is an arithmetic number, because the mean of its divisors is an integer number (26924679936).

Almost surely, 2^{10238896813824} is an apocalyptic number.

10238896813824 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 10238896813824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19385769553920).

10238896813824 is an abundant number, since it is smaller than the sum of its proper divisors (28532642294016).

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

10238896813824 is a wasteful number, since it uses less digits than its factorization.

10238896813824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 10238896813824 in words is "ten trillion, two hundred thirty-eight billion, eight hundred ninety-six million, eight hundred thirteen thousand, eight hundred twenty-four".