1275712804800 has 2520 divisors, whose sum is σ = 5854292228400. Its totient is φ = 270888468480.

The previous prime is 1275712804787. The next prime is 1275712804823. The reversal of 1275712804800 is 84082175721.

1275712804800 is a `hidden beast` number, since 1 + 27 + 5 + 71 + 2 + 80 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 11703787146 + ... + 11703787254.

Almost surely, 2^{1275712804800} is an apocalyptic number.

1275712804800 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 1275712804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927146114200).

1275712804800 is an abundant number, since it is smaller than the sum of its proper divisors (4578579423600).

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

1275712804800 is a wasteful number, since it uses less digits than its factorization.

1275712804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 1275712804800 in words is "one trillion, two hundred seventy-five billion, seven hundred twelve million, eight hundred four thousand, eight hundred".