1270795219200 has 864 divisors, whose sum is σ = 5191640630400. Its totient is φ = 302009057280.

The previous prime is 1270795219163. The next prime is 1270795219217. The reversal of 1270795219200 is 29125970721.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1270795219200² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65135847 + ... + 65155353.

Almost surely, 2^{1270795219200} is an apocalyptic number.

1270795219200 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 1270795219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595820315200).

1270795219200 is an abundant number, since it is smaller than the sum of its proper divisors (3920845411200).

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

1270795219200 is a wasteful number, since it uses less digits than its factorization.

1270795219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19584 (or 19559 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 1270795219200 in words is "one trillion, two hundred seventy billion, seven hundred ninety-five million, two hundred nineteen thousand, two hundred".