1297177015680 has 2304 divisors, whose sum is σ = 5919703171200. Its totient is φ = 259071934464.

The previous prime is 1297177015679. The next prime is 1297177015681. The reversal of 1297177015680 is 865107717921.

1297177015680 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 1 + 7 + 70 + 1 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1297177015679) and next prime (1297177015681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1297177015681) 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 287 ways as a sum of consecutive naturals, for example, 7767526957 + ... + 7767527123.

Almost surely, 2^{1297177015680} is an apocalyptic number.

1297177015680 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 1297177015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959851585600).

1297177015680 is an abundant number, since it is smaller than the sum of its proper divisors (4622526155520).

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

1297177015680 is a wasteful number, since it uses less digits than its factorization.

1297177015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 54.

The spelling of 1297177015680 in words is "one trillion, two hundred ninety-seven billion, one hundred seventy-seven million, fifteen thousand, six hundred eighty".