1275164467200 has 1512 divisors, whose sum is σ = 5177905407948. Its totient is φ = 309586821120.

The previous prime is 1275164467177. The next prime is 1275164467201. The reversal of 1275164467200 is 27644615721.

1275164467200 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 164 + 467 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 274140205056 + 1001024262144 = 523584^2 + 1000512^2 .

It is a super-3 number, since 3×1275164467200³ (a number of 37 digits) contains 333 as substring.

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 (1275164467201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 17468006364 + ... + 17468006436.

Almost surely, 2^{1275164467200} is an apocalyptic number.

1275164467200 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 1275164467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588952703974).

1275164467200 is an abundant number, since it is smaller than the sum of its proper divisors (3902740940748).

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

1275164467200 is an frugal number, since it uses more digits than its factorization.

1275164467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1275164467200 in words is "one trillion, two hundred seventy-five billion, one hundred sixty-four million, four hundred sixty-seven thousand, two hundred".