10463950694880 has 480 divisors, whose sum is σ = 37994754188160. Its totient is φ = 2710128844800.

The previous prime is 10463950694863. The next prime is 10463950694909. The reversal of 10463950694880 is 8849605936401.

10463950694880 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 3 + 9 + 506 + 9 + 48 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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, 272827705 + ... + 272866055.

It is an arithmetic number, because the mean of its divisors is an integer number (79155737892).

Almost surely, 2^{10463950694880} is an apocalyptic number.

10463950694880 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 10463950694880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18997377094080).

10463950694880 is an abundant number, since it is smaller than the sum of its proper divisors (27530803493280).

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

10463950694880 is a wasteful number, since it uses less digits than its factorization.

10463950694880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38984 (or 38967 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 10463950694880 in words is "ten trillion, four hundred sixty-three billion, nine hundred fifty million, six hundred ninety-four thousand, eight hundred eighty".