1295268477660 has 240 divisors, whose sum is σ = 4368171709440. Its totient is φ = 320263113600.

The previous prime is 1295268477653. The next prime is 1295268477683. The reversal of 1295268477660 is 667748625921.

1295268477660 is a `hidden beast` number, since 1 + 2 + 9 + 526 + 8 + 47 + 7 + 6 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 998985 + ... + 1894335.

It is an arithmetic number, because the mean of its divisors is an integer number (18200715456).

Almost surely, 2^{1295268477660} is an apocalyptic number.

1295268477660 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 1295268477660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184085854720).

1295268477660 is an abundant number, since it is smaller than the sum of its proper divisors (3072903231780).

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

1295268477660 is a wasteful number, since it uses less digits than its factorization.

1295268477660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895438 (or 895427 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 1295268477660 in words is "one trillion, two hundred ninety-five billion, two hundred sixty-eight million, four hundred seventy-seven thousand, six hundred sixty".