10745150502240 has 2160 divisors, whose sum is σ = 50800933515024. Its totient is φ = 2114748518400.

The previous prime is 10745150502239. The next prime is 10745150502271. The reversal of 10745150502240 is 4220505154701.

10745150502240 is a `hidden beast` number, since 1 + 0 + 74 + 515 + 0 + 50 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10745150502195 and 10745150502204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2521741710 + ... + 2521745970.

Almost surely, 2^{10745150502240} is an apocalyptic number.

10745150502240 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 10745150502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25400466757512).

10745150502240 is an abundant number, since it is smaller than the sum of its proper divisors (40055783012784).

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

10745150502240 is a wasteful number, since it uses less digits than its factorization.

10745150502240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

Adding to 10745150502240 its reverse (4220505154701), we get a palindrome (14965655656941).

The spelling of 10745150502240 in words is "ten trillion, seven hundred forty-five billion, one hundred fifty million, five hundred two thousand, two hundred forty".