1265085057600 has 1701 divisors, whose sum is σ = 5719338714843. Its totient is φ = 264327598080.

The previous prime is 1265085057583. The next prime is 1265085057601. The reversal of 1265085057600 is 67505805621.

The square root of 1265085057600 is 1124760.

It is a perfect power (a square), and thus also a powerful number.

1265085057600 is a `hidden beast` number, since 1 + 26 + 5 + 0 + 8 + 50 + 576 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 326077545024 + 939007512576 = 571032^2 + 969024^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1265085057601) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 12282379149 + ... + 12282379251.

Almost surely, 2^{1265085057600} is an apocalyptic number.

1265085057600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1265085057600 is the 1124760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1265085057600

1265085057600 is an abundant number, since it is smaller than the sum of its proper divisors (4454253657243).

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

1265085057600 is a wasteful number, since it uses less digits than its factorization.

1265085057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 1265085057600 in words is "one trillion, two hundred sixty-five billion, eighty-five million, fifty-seven thousand, six hundred".