1797127158240 has 480 divisors, whose sum is σ = 6395072523840. Its totient is φ = 475267792896.

The previous prime is 1797127158227. The next prime is 1797127158241. The reversal of 1797127158240 is 428517217971.

1797127158240 is a `hidden beast` number, since 1 + 7 + 9 + 7 + 12 + 7 + 1 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1797127158241) 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 79 ways as a sum of consecutive naturals, for example, 972996997 + ... + 972998843.

It is an arithmetic number, because the mean of its divisors is an integer number (13323067758).

Almost surely, 2^{1797127158240} is an apocalyptic number.

1797127158240 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 1797127158240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197536261920).

1797127158240 is an abundant number, since it is smaller than the sum of its proper divisors (4597945365600).

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

1797127158240 is a wasteful number, since it uses less digits than its factorization.

1797127158240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 1797127158240 in words is "one trillion, seven hundred ninety-seven billion, one hundred twenty-seven million, one hundred fifty-eight thousand, two hundred forty".