97198617600 has 528 divisors, whose sum is σ = 407952361600. Its totient is φ = 22215720960.

The previous prime is 97198617583. The next prime is 97198617643. The reversal of 97198617600 is 671689179.

97198617600 is a `hidden beast` number, since 9 + 7 + 19 + 8 + 6 + 17 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4828356 + ... + 4848444.

Almost surely, 2^97198617600 is an apocalyptic number.

97198617600 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 97198617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203976180800).

97198617600 is an abundant number, since it is smaller than the sum of its proper divisors (310753744000).

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

97198617600 is a wasteful number, since it uses less digits than its factorization.

97198617600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20135 (or 20106 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 97198617600 in words is "ninety-seven billion, one hundred ninety-eight million, six hundred seventeen thousand, six hundred".