997577585775760 has 80 divisors (see below), whose sum is σ = 2555271191587392. Its totient is φ = 359163847232000.

The previous prime is 997577585775713. The next prime is 997577585775761. The reversal of 997577585775760 is 67577585775799.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×997577585775760² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (997577585775761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5611846234 + ... + 5612023993.

Almost surely, 2^{997577585775760} is an apocalyptic number.

It is an amenable number.

997577585775760 is an abundant number, since it is smaller than the sum of its proper divisors (1557693605811632).

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

997577585775760 is a wasteful number, since it uses less digits than its factorization.

997577585775760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11223870352 (or 11223870346 counting only the distinct ones).

The product of its (nonzero) digits is 285887070000, while the sum is 94.

The spelling of 997577585775760 in words is "nine hundred ninety-seven trillion, five hundred seventy-seven billion, five hundred eighty-five million, seven hundred seventy-five thousand, seven hundred sixty".