97000534400 has 192 divisors, whose sum is σ = 298749807360. Its totient is φ = 30233856000.

The previous prime is 97000534399. The next prime is 97000534403. The reversal of 97000534400 is 443500079.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97000534403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49565 + ... + 443235.

It is an arithmetic number, because the mean of its divisors is an integer number (1555988580).

Almost surely, 2^97000534400 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 97000534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149374903680).

97000534400 is an abundant number, since it is smaller than the sum of its proper divisors (201749272960).

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

97000534400 is a wasteful number, since it uses less digits than its factorization.

97000534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393713 (or 393696 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 97000534400 in words is "ninety-seven billion, five hundred thirty-four thousand, four hundred".