1267795845600 has 144 divisors (see below), whose sum is σ = 4144697691120. Its totient is φ = 336602419200.

The previous prime is 1267795845599. The next prime is 1267795845601. The reversal of 1267795845600 is 65485977621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1267795845599) and next prime (1267795845601).

It is a super-2 number, since 2×1267795845600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1267795845601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 603781 + ... + 1702980.

It is an arithmetic number, because the mean of its divisors is an integer number (28782622855).

Almost surely, 2^{1267795845600} is an apocalyptic number.

1267795845600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1267795845600 is an abundant number, since it is smaller than the sum of its proper divisors (2876901845520).

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

1267795845600 is a wasteful number, since it uses less digits than its factorization.

1267795845600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307013 (or 2307000 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 1267795845600 in words is "one trillion, two hundred sixty-seven billion, seven hundred ninety-five million, eight hundred forty-five thousand, six hundred".