1265106028032 has 960 divisors, whose sum is σ = 4906408826880. Its totient is φ = 317940940800.

The previous prime is 1265106028027. The next prime is 1265106028073. The reversal of 1265106028032 is 2308206015621.

1265106028032 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 10 + 602 + 8 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230982478 + ... + 230987954.

It is an arithmetic number, because the mean of its divisors is an integer number (5110842528).

Almost surely, 2^{1265106028032} is an apocalyptic number.

1265106028032 is a gapful number since it is divisible by the number (12) 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 1265106028032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453204413440).

1265106028032 is an abundant number, since it is smaller than the sum of its proper divisors (3641302798848).

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

1265106028032 is a wasteful number, since it uses less digits than its factorization.

1265106028032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1265106028032 in words is "one trillion, two hundred sixty-five billion, one hundred six million, twenty-eight thousand, thirty-two".