10538143640640 has 2688 divisors, whose sum is σ = 48953505669120. Its totient is φ = 2072438784000.

The previous prime is 10538143640611. The next prime is 10538143640641. The reversal of 10538143640640 is 4604634183501.

10538143640640 is a `hidden beast` number, since 1 + 0 + 538 + 1 + 4 + 36 + 40 + 6 + 40 = 666.

It is a super-2 number, since 2×10538143640640² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10538143640641) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 33884706085 + ... + 33884706395.

Almost surely, 2^{10538143640640} is an apocalyptic number.

10538143640640 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 10538143640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24476752834560).

10538143640640 is an abundant number, since it is smaller than the sum of its proper divisors (38415362028480).

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

10538143640640 is a wasteful number, since it uses less digits than its factorization.

10538143640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 10538143640640 in words is "ten trillion, five hundred thirty-eight billion, one hundred forty-three million, six hundred forty thousand, six hundred forty".