10794014462880 has 768 divisors, whose sum is σ = 42566956185600. Its totient is φ = 2531938590720.

The previous prime is 10794014462843. The next prime is 10794014462887. The reversal of 10794014462880 is 8826441049701.

10794014462880 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 4 + 0 + 1 + 4 + 4 + 628 + 8 + 0 = 666.

It is a super-2 number, since 2×10794014462880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10794014462887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 218614836 + ... + 218664204.

It is an arithmetic number, because the mean of its divisors is an integer number (55425724200).

Almost surely, 2^{10794014462880} is an apocalyptic number.

10794014462880 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 10794014462880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21283478092800).

10794014462880 is an abundant number, since it is smaller than the sum of its proper divisors (31772941722720).

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

10794014462880 is a wasteful number, since it uses less digits than its factorization.

10794014462880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49554 (or 49540 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 10794014462880 in words is "ten trillion, seven hundred ninety-four billion, fourteen million, four hundred sixty-two thousand, eight hundred eighty".