10001306985600 has 768 divisors, whose sum is σ = 37885262688000. Its totient is φ = 2271648153600.

The previous prime is 10001306985599. The next prime is 10001306985653. The reversal of 10001306985600 is 658960310001.

It is a super-2 number, since 2×10001306985600² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9534133876 + ... + 9534134924.

It is an arithmetic number, because the mean of its divisors is an integer number (49329769125).

Almost surely, 2^{10001306985600} is an apocalyptic number.

10001306985600 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 10001306985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18942631344000).

10001306985600 is an abundant number, since it is smaller than the sum of its proper divisors (27883955702400).

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

10001306985600 is a wasteful number, since it uses less digits than its factorization.

10001306985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 10001306985600 in words is "ten trillion, one billion, three hundred six million, nine hundred eighty-five thousand, six hundred".