997577585575800 has 192 divisors, whose sum is σ = 3172080007323360. Its totient is φ = 259191333888000.

The previous prime is 997577585575799. The next prime is 997577585575847. The reversal of 997577585575800 is 8575585775799.

It is a super-2 number, since 2×997577585575800² (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 997577585575698 and 997577585575707.

It is a congruent number.

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, 7923247 + ... + 45364446.

Almost surely, 2^{997577585575800} 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 997577585575800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586040003661680).

997577585575800 is an abundant number, since it is smaller than the sum of its proper divisors (2174502421747560).

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

997577585575800 is a wasteful number, since it uses less digits than its factorization.

997577585575800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53288514 (or 53288505 counting only the distinct ones).

The product of its (nonzero) digits is 38896200000, while the sum is 87.

The spelling of 997577585575800 in words is "nine hundred ninety-seven trillion, five hundred seventy-seven billion, five hundred eighty-five million, five hundred seventy-five thousand, eight hundred".