997250795520 has 768 divisors, whose sum is σ = 3831165112320. Its totient is φ = 216519671808.

The previous prime is 997250795509. The next prime is 997250795537. The reversal of 997250795520 is 25597052799.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 806184342 + ... + 806185578.

It is an arithmetic number, because the mean of its divisors is an integer number (4988496240).

Almost surely, 2^997250795520 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 997250795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915582556160).

997250795520 is an abundant number, since it is smaller than the sum of its proper divisors (2833914316800).

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

997250795520 is a wasteful number, since it uses less digits than its factorization.

997250795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 17860500, while the sum is 60.

The spelling of 997250795520 in words is "nine hundred ninety-seven billion, two hundred fifty million, seven hundred ninety-five thousand, five hundred twenty".