1265292804096 has 304 divisors, whose sum is σ = 3797012282880. Its totient is φ = 421573165056.

The previous prime is 1265292804091. The next prime is 1265292804133. The reversal of 1265292804096 is 6904082925621.

1265292804096 is a `hidden beast` number, since 1 + 2 + 6 + 529 + 28 + 0 + 4 + 0 + 96 = 666.

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 (1265292804091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573307825 + ... + 573310031.

Almost surely, 2^{1265292804096} is an apocalyptic number.

1265292804096 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 1265292804096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898506141440).

1265292804096 is an abundant number, since it is smaller than the sum of its proper divisors (2531719478784).

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

1265292804096 is an frugal number, since it uses more digits than its factorization.

1265292804096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1265292804096 in words is "one trillion, two hundred sixty-five billion, two hundred ninety-two million, eight hundred four thousand, ninety-six".