10260095773536 has 864 divisors, whose sum is σ = 36563343092640. Its totient is φ = 2818577793024.

The previous prime is 10260095773531. The next prime is 10260095773537. The reversal of 10260095773536 is 63537759006201.

10260095773536 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 0 + 0 + 9 + 577 + 35 + 36 = 666.

10260095773536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10260095773531) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2839770066 + ... + 2839773678.

It is an arithmetic number, because the mean of its divisors is an integer number (42318684135).

Almost surely, 2^{10260095773536} is an apocalyptic number.

10260095773536 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 10260095773536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18281671546320).

10260095773536 is an abundant number, since it is smaller than the sum of its proper divisors (26303247319104).

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

10260095773536 is a wasteful number, since it uses less digits than its factorization.

10260095773536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 10260095773536 in words is "ten trillion, two hundred sixty billion, ninety-five million, seven hundred seventy-three thousand, five hundred thirty-six".