265795048138752 has 1152 divisors, whose sum is σ = 897046784524800. Its totient is φ = 77918655283200.

The previous prime is 265795048138691. The next prime is 265795048138759. The reversal of 265795048138752 is 257831840597562.

265795048138752 is a `hidden beast` number, since 2 + 6 + 5 + 7 + 9 + 504 + 81 + 38 + 7 + 5 + 2 = 666.

265795048138752 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 (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (265795048138759) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36256311727 + ... + 36256319057.

It is an arithmetic number, because the mean of its divisors is an integer number (778686444900).

It is a 1-persistent number, because it is pandigital, but 2⋅265795048138752 = 531590096277504 is not.

Almost surely, 2^{265795048138752} is an apocalyptic number.

265795048138752 is a gapful number since it is divisible by the number (22) 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 265795048138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448523392262400).

265795048138752 is an abundant number, since it is smaller than the sum of its proper divisors (631251736386048).

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

265795048138752 is a wasteful number, since it uses less digits than its factorization.

265795048138752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7595 (or 7563 counting only the distinct ones).

The product of its (nonzero) digits is 1016064000, while the sum is 72.

The spelling of 265795048138752 in words is "two hundred sixty-five trillion, seven hundred ninety-five billion, forty-eight million, one hundred thirty-eight thousand, seven hundred fifty-two".