10388746368000 has 5940 divisors, whose sum is σ = 53605012016556. Its totient is φ = 1992646656000.

The previous prime is 10388746367981. The next prime is 10388746368017. The reversal of 10388746368000 is 86364788301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10388746368000 is a `hidden beast` number, since 10 + 38 + 87 + 463 + 68 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7319578742784 + 3069167625216 = 2705472^2 + 1751904^2 .

It is a tau number, because it is divible by the number of its divisors (5940).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 799134335994 + ... + 799134336006.

Almost surely, 2^{10388746368000} is an apocalyptic number.

10388746368000 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 10388746368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26802506008278).

10388746368000 is an abundant number, since it is smaller than the sum of its proper divisors (43216265648556).

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

10388746368000 is a wasteful number, since it uses less digits than its factorization.

10388746368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 10388746368000 in words is "ten trillion, three hundred eighty-eight billion, seven hundred forty-six million, three hundred sixty-eight thousand".