10643115005040 has 320 divisors, whose sum is σ = 38472781012992. Its totient is φ = 2383729689600.

The previous prime is 10643115005011. The next prime is 10643115005077. The reversal of 10643115005040 is 4050051134601.

It is a happy number.

It is a super-2 number, since 2×10643115005040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10643115004989 and 10643115005007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19168935 + ... + 19716345.

Almost surely, 2^{10643115005040} is an apocalyptic number.

10643115005040 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 10643115005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19236390506496).

10643115005040 is an abundant number, since it is smaller than the sum of its proper divisors (27829666007952).

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

10643115005040 is a wasteful number, since it uses less digits than its factorization.

10643115005040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547668 (or 547662 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 10643115005040 its reverse (4050051134601), we get a palindrome (14693166139641).

The spelling of 10643115005040 in words is "ten trillion, six hundred forty-three billion, one hundred fifteen million, five thousand, forty".