10679344972800 has 528 divisors, whose sum is σ = 40406387908992. Its totient is φ = 2436857856000.

The previous prime is 10679344972799. The next prime is 10679344972801. The reversal of 10679344972800 is 827944397601.

It is an interprime number because it is at equal distance from previous prime (10679344972799) and next prime (10679344972801).

It is a super-2 number, since 2×10679344972800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (10679344972801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323081074 + ... + 323114126.

Almost surely, 2^{10679344972800} is an apocalyptic number.

10679344972800 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 10679344972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20203193954496).

10679344972800 is an abundant number, since it is smaller than the sum of its proper divisors (29727042936192).

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

10679344972800 is a wasteful number, since it uses less digits than its factorization.

10679344972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33694 (or 33671 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 10679344972800 in words is "ten trillion, six hundred seventy-nine billion, three hundred forty-four million, nine hundred seventy-two thousand, eight hundred".