10636982066400 has 144 divisors (see below), whose sum is σ = 34637033088000. Its totient is φ = 2835409743360.

The previous prime is 10636982066393. The next prime is 10636982066401. The reversal of 10636982066400 is 466028963601.

It is a happy number.

It is a super-2 number, since 2×10636982066400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10636982066401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5220801 + ... + 6966399.

It is an arithmetic number, because the mean of its divisors is an integer number (240534952000).

Almost surely, 2^{10636982066400} is an apocalyptic number.

10636982066400 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 10636982066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17318516544000).

10636982066400 is an abundant number, since it is smaller than the sum of its proper divisors (24000051021600).

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

10636982066400 is a wasteful number, since it uses less digits than its factorization.

10636982066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748161 (or 1748148 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 10636982066400 in words is "ten trillion, six hundred thirty-six billion, nine hundred eighty-two million, sixty-six thousand, four hundred".