10924253706240 has 768 divisors, whose sum is σ = 45324408729600. Its totient is φ = 2443824857088.

The previous prime is 10924253706211. The next prime is 10924253706263. The reversal of 10924253706240 is 4260735242901.

10924253706240 is a `hidden beast` number, since 1 + 0 + 92 + 4 + 2 + 537 + 0 + 6 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 90901872 + ... + 91021968.

It is an arithmetic number, because the mean of its divisors is an integer number (59016157200).

Almost surely, 2^{10924253706240} is an apocalyptic number.

10924253706240 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 10924253706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22662204364800).

10924253706240 is an abundant number, since it is smaller than the sum of its proper divisors (34400155023360).

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

10924253706240 is a wasteful number, since it uses less digits than its factorization.

10924253706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120187 (or 120161 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 10924253706240 in words is "ten trillion, nine hundred twenty-four billion, two hundred fifty-three million, seven hundred six thousand, two hundred forty".