10363970672208 has 120 divisors (see below), whose sum is σ = 29189235269376. Its totient is φ = 3432695673600.

The previous prime is 10363970672207. The next prime is 10363970672219. The reversal of 10363970672208 is 80227607936301.

10363970672208 is a `hidden beast` number, since 1 + 0 + 363 + 9 + 7 + 0 + 6 + 72 + 208 = 666.

It is a super-3 number, since 3×10363970672208³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10363970672207) 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 23 ways as a sum of consecutive naturals, for example, 65836953 + ... + 65994183.

Almost surely, 2^{10363970672208} is an apocalyptic number.

10363970672208 is a gapful number since it is divisible by the number (18) 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 10363970672208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14594617634688).

10363970672208 is an abundant number, since it is smaller than the sum of its proper divisors (18825264597168).

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

10363970672208 is a wasteful number, since it uses less digits than its factorization.

10363970672208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160153 (or 160144 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 10363970672208 in words is "ten trillion, three hundred sixty-three billion, nine hundred seventy million, six hundred seventy-two thousand, two hundred eight".