97198358400 has 768 divisors, whose sum is σ = 417960748800. Its totient is φ = 21747916800.

The previous prime is 97198358357. The next prime is 97198358401. The reversal of 97198358400 is 485389179.

97198358400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97198358401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12351267 + ... + 12359133.

It is an arithmetic number, because the mean of its divisors is an integer number (544219725).

Almost surely, 2^97198358400 is an apocalyptic number.

97198358400 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 97198358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208980374400).

97198358400 is an abundant number, since it is smaller than the sum of its proper divisors (320762390400).

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

97198358400 is a wasteful number, since it uses less digits than its factorization.

97198358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7924 (or 7901 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 97198358400 in words is "ninety-seven billion, one hundred ninety-eight million, three hundred fifty-eight thousand, four hundred".