10939284099072 has 1040 divisors, whose sum is σ = 39567688364160. Its totient is φ = 2941839212544.

The previous prime is 10939284099047. The next prime is 10939284099089. The reversal of 10939284099072 is 27099048293901.

10939284099072 is a `hidden beast` number, since 10 + 9 + 392 + 84 + 0 + 9 + 90 + 72 = 666.

It is a super-2 number, since 2×10939284099072² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7633833268 + ... + 7633834700.

Almost surely, 2^{10939284099072} is an apocalyptic number.

10939284099072 is a gapful number since it is divisible by the number (12) 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 10939284099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19783844182080).

10939284099072 is an abundant number, since it is smaller than the sum of its proper divisors (28628404265088).

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

10939284099072 is a wasteful number, since it uses less digits than its factorization.

10939284099072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 10939284099072 in words is "ten trillion, nine hundred thirty-nine billion, two hundred eighty-four million, ninety-nine thousand, seventy-two".