10384985241600 has 1152 divisors, whose sum is σ = 38144238612480. Its totient is φ = 2480941301760.

The previous prime is 10384985241581. The next prime is 10384985241611. The reversal of 10384985241600 is 614258948301.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4540875657 + ... + 4540877943.

It is an arithmetic number, because the mean of its divisors is an integer number (33111318240).

Almost surely, 2^{10384985241600} is an apocalyptic number.

10384985241600 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 10384985241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19072119306240).

10384985241600 is an abundant number, since it is smaller than the sum of its proper divisors (27759253370880).

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

10384985241600 is a wasteful number, since it uses less digits than its factorization.

10384985241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 10384985241600 in words is "ten trillion, three hundred eighty-four billion, nine hundred eighty-five million, two hundred forty-one thousand, six hundred".