10267507165056 has 128 divisors (see below), whose sum is σ = 27436267468800. Its totient is φ = 3402048921600.

The previous prime is 10267507165039. The next prime is 10267507165093. The reversal of 10267507165056 is 65056170576201.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 99769755 + ... + 99872613.

It is an arithmetic number, because the mean of its divisors is an integer number (214345839600).

Almost surely, 2^{10267507165056} is an apocalyptic number.

10267507165056 is a gapful number since it is divisible by the number (16) 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 10267507165056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13718133734400).

10267507165056 is an abundant number, since it is smaller than the sum of its proper divisors (17168760303744).

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

10267507165056 is a wasteful number, since it uses less digits than its factorization.

10267507165056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104428 (or 104416 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 51.

The spelling of 10267507165056 in words is "ten trillion, two hundred sixty-seven billion, five hundred seven million, one hundred sixty-five thousand, fifty-six".