997517430000 has 1800 divisors, whose sum is σ = 4489876879488. Its totient is φ = 209858688000.

The previous prime is 997517429983. The next prime is 997517430023. The reversal of 997517430000 is 34715799.

997517430000 is a `hidden beast` number, since 9 + 97 + 517 + 43 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2874689827 + ... + 2874690173.

Almost surely, 2^997517430000 is an apocalyptic number.

997517430000 is a gapful number since it is divisible by the number (90) 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 997517430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244938439744).

997517430000 is an abundant number, since it is smaller than the sum of its proper divisors (3492359449488).

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

997517430000 is a wasteful number, since it uses less digits than its factorization.

997517430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 997517430000 in words is "nine hundred ninety-seven billion, five hundred seventeen million, four hundred thirty thousand".