1272510265680 has 560 divisors, whose sum is σ = 4713026632704. Its totient is φ = 318271057920.

The previous prime is 1272510265661. The next prime is 1272510265687. The reversal of 1272510265680 is 865620152721.

1272510265680 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 510 + 2 + 6 + 56 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272510265687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 308335777 + ... + 308339903.

Almost surely, 2^{1272510265680} is an apocalyptic number.

1272510265680 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 1272510265680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356513316352).

1272510265680 is an abundant number, since it is smaller than the sum of its proper divisors (3440516367024).

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

1272510265680 is a wasteful number, since it uses less digits than its factorization.

1272510265680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1272510265680 in words is "one trillion, two hundred seventy-two billion, five hundred ten million, two hundred sixty-five thousand, six hundred eighty".