10460099680128 has 1792 divisors, whose sum is σ = 40757854579200. Its totient is φ = 2600529297408.

The previous prime is 10460099680039. The next prime is 10460099680153. The reversal of 10460099680128 is 82108699006401.

10460099680128 is a `hidden beast` number, since 1 + 0 + 4 + 600 + 9 + 9 + 6 + 8 + 0 + 1 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 9072072000 + ... + 9072073152.

Almost surely, 2^{10460099680128} is an apocalyptic number.

10460099680128 is a gapful number since it is divisible by the number (18) 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 10460099680128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20378927289600).

10460099680128 is an abundant number, since it is smaller than the sum of its proper divisors (30297754899072).

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

10460099680128 is a wasteful number, since it uses less digits than its factorization.

10460099680128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 10460099680128 in words is "ten trillion, four hundred sixty billion, ninety-nine million, six hundred eighty thousand, one hundred twenty-eight".