10005643601280 has 1024 divisors, whose sum is σ = 37698514560000. Its totient is φ = 2501028347904.

The previous prime is 10005643601269. The next prime is 10005643601287. The reversal of 10005643601280 is 8210634650001.

It is a happy number.

10005643601280 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 6 + 43 + 601 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×10005643601280² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005643601287) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 17045389147 + ... + 17045389733.

It is an arithmetic number, because the mean of its divisors is an integer number (36814955625).

Almost surely, 2^{10005643601280} is an apocalyptic number.

10005643601280 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 10005643601280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18849257280000).

10005643601280 is an abundant number, since it is smaller than the sum of its proper divisors (27692870958720).

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

10005643601280 is a wasteful number, since it uses less digits than its factorization.

10005643601280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10005643601280 in words is "ten trillion, five billion, six hundred forty-three million, six hundred one thousand, two hundred eighty".