10478105256960 has 1408 divisors, whose sum is σ = 41595349178880. Its totient is φ = 2511093104640.

The previous prime is 10478105256929. The next prime is 10478105256989. The reversal of 10478105256960 is 6965250187401.

It is a happy number.

10478105256960 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 8 + 10 + 5 + 2 + 569 + 60 = 666.

10478105256960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a junction number, because it is equal to n+sod(n) for n = 10478105256897 and 10478105256906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11947668042 + ... + 11947668918.

Almost surely, 2^{10478105256960} is an apocalyptic number.

10478105256960 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 10478105256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20797674589440).

10478105256960 is an abundant number, since it is smaller than the sum of its proper divisors (31117243921920).

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

10478105256960 is an frugal number, since it uses more digits than its factorization.

10478105256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 10478105256960 in words is "ten trillion, four hundred seventy-eight billion, one hundred five million, two hundred fifty-six thousand, nine hundred sixty".