97307997120 has 336 divisors, whose sum is σ = 338410039968. Its totient is φ = 25662873600.

The previous prime is 97307997113. The next prime is 97307997131. The reversal of 97307997120 is 2179970379.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 138812770 + ... + 138813470.

It is an arithmetic number, because the mean of its divisors is an integer number (1007172738).

Almost surely, 2^97307997120 is an apocalyptic number.

97307997120 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 97307997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169205019984).

97307997120 is an abundant number, since it is smaller than the sum of its proper divisors (241102042848).

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

97307997120 is a wasteful number, since it uses less digits than its factorization.

97307997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 1500282, while the sum is 54.

The spelling of 97307997120 in words is "ninety-seven billion, three hundred seven million, nine hundred ninety-seven thousand, one hundred twenty".