10134613426560 has 1024 divisors, whose sum is σ = 39007567872000. Its totient is φ = 2234853089280.

The previous prime is 10134613426547. The next prime is 10134613426583. The reversal of 10134613426560 is 6562431643101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 9533972589 + ... + 9533973651.

It is an arithmetic number, because the mean of its divisors is an integer number (38093328000).

Almost surely, 2^{10134613426560} is an apocalyptic number.

10134613426560 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 10134613426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19503783936000).

10134613426560 is an abundant number, since it is smaller than the sum of its proper divisors (28872954445440).

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

10134613426560 is a wasteful number, since it uses less digits than its factorization.

10134613426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 10134613426560 in words is "ten trillion, one hundred thirty-four billion, six hundred thirteen million, four hundred twenty-six thousand, five hundred sixty".