10122482894760 has 256 divisors, whose sum is σ = 35774542425600. Its totient is φ = 2537122000896.

The previous prime is 10122482894753. The next prime is 10122482894789. The reversal of 10122482894760 is 6749828422101.

10122482894760 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 2 + 482 + 8 + 94 + 76 + 0 = 666.

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 = 10122482894697 and 10122482894706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13270462 + ... + 14012498.

It is an arithmetic number, because the mean of its divisors is an integer number (139744306350).

Almost surely, 2^{10122482894760} is an apocalyptic number.

10122482894760 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 10122482894760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17887271212800).

10122482894760 is an abundant number, since it is smaller than the sum of its proper divisors (25652059530840).

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

10122482894760 is a wasteful number, since it uses less digits than its factorization.

10122482894760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742817 (or 742807 counting only the distinct ones).

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

The spelling of 10122482894760 in words is "ten trillion, one hundred twenty-two billion, four hundred eighty-two million, eight hundred ninety-four thousand, seven hundred sixty".