10386924820480 has 384 divisors, whose sum is σ = 27055138743360. Its totient is φ = 3804529950720.

The previous prime is 10386924820477. The next prime is 10386924820483. The reversal of 10386924820480 is 8402842968301.

It is an interprime number because it is at equal distance from previous prime (10386924820477) and next prime (10386924820483).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10386924820483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11038176810 + ... + 11038177750.

Almost surely, 2^{10386924820480} is an apocalyptic number.

10386924820480 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 10386924820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13527569371680).

10386924820480 is an abundant number, since it is smaller than the sum of its proper divisors (16668213922880).

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

10386924820480 is a wasteful number, since it uses less digits than its factorization.

10386924820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 55.

The spelling of 10386924820480 in words is "ten trillion, three hundred eighty-six billion, nine hundred twenty-four million, eight hundred twenty thousand, four hundred eighty".