997785541066752 has 720 divisors, whose sum is σ = 3008418156470272. Its totient is φ = 318301753835520.

The previous prime is 997785541066697. The next prime is 997785541066789. The reversal of 997785541066752 is 257660145587799.

997785541066752 is a `hidden beast` number, since 9 + 9 + 7 + 7 + 8 + 5 + 541 + 0 + 6 + 67 + 5 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624787438818 + ... + 624787440414.

Almost surely, 2^{997785541066752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997785541066752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504209078235136).

997785541066752 is an abundant number, since it is smaller than the sum of its proper divisors (2010632615403520).

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

997785541066752 is a wasteful number, since it uses less digits than its factorization.

997785541066752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 8001504000, while the sum is 81.

The spelling of 997785541066752 in words is "nine hundred ninety-seven trillion, seven hundred eighty-five billion, five hundred forty-one million, sixty-six thousand, seven hundred fifty-two".