10053798456960 has 192 divisors, whose sum is σ = 34723985868000. Its totient is φ = 2680475203584.

The previous prime is 10053798456931. The next prime is 10053798456973. The reversal of 10053798456960 is 6965489735001.

10053798456960 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 3 + 7 + 9 + 8 + 4 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 28967331 + ... + 29312349.

Almost surely, 2^{10053798456960} is an apocalyptic number.

10053798456960 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 10053798456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17361992934000).

10053798456960 is an abundant number, since it is smaller than the sum of its proper divisors (24670187411040).

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

10053798456960 is a wasteful number, since it uses less digits than its factorization.

10053798456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350103 (or 350088 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 10053798456960 in words is "ten trillion, fifty-three billion, seven hundred ninety-eight million, four hundred fifty-six thousand, nine hundred sixty".