1265537468160 has 2304 divisors, whose sum is σ = 5734607155200. Its totient is φ = 260855562240.

The previous prime is 1265537468159. The next prime is 1265537468171. The reversal of 1265537468160 is 618647355621.

It is a happy number.

1265537468160 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 537 + 46 + 8 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a junction number, because it is equal to n+sod(n) for n = 1265537468097 and 1265537468106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9660591295 + ... + 9660591425.

It is an arithmetic number, because the mean of its divisors is an integer number (2488978800).

Almost surely, 2^{1265537468160} is an apocalyptic number.

1265537468160 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 1265537468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867303577600).

1265537468160 is an abundant number, since it is smaller than the sum of its proper divisors (4469069687040).

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

1265537468160 is an equidigital number, since it uses as much as digits as its factorization.

1265537468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 1265537468160 in words is "one trillion, two hundred sixty-five billion, five hundred thirty-seven million, four hundred sixty-eight thousand, one hundred sixty".