97094560000 has 405 divisors, whose sum is σ = 261988475133. Its totient is φ = 35896320000.

The previous prime is 97094559941. The next prime is 97094560001. The reversal of 97094560000 is 6549079.

The square root of 97094560000 is 311600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 96716024064 + 378535936 = 310992^2 + 19456^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97094560001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2368159980 + ... + 2368160020.

Almost surely, 2^97094560000 is an apocalyptic number.

97094560000 is the 311600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97094560000

97094560000 is an abundant number, since it is smaller than the sum of its proper divisors (164893915133).

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

97094560000 is an frugal number, since it uses more digits than its factorization.

97094560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The spelling of 97094560000 in words is "ninety-seven billion, ninety-four million, five hundred sixty thousand".