97550196681600 has 1152 divisors, whose sum is σ = 396995565657600. Its totient is φ = 22625395752960.

The previous prime is 97550196681593. The next prime is 97550196681607. The reversal of 97550196681600 is 618669105579.

97550196681600 is a `hidden beast` number, since 9 + 7 + 5 + 5 + 0 + 19 + 6 + 6 + 8 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (97550196681593) and next prime (97550196681607).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97550196681607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 576865861 + ... + 577034939.

It is an arithmetic number, because the mean of its divisors is an integer number (344614206300).

Almost surely, 2^{97550196681600} is an apocalyptic number.

97550196681600 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 97550196681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198497782828800).

97550196681600 is an abundant number, since it is smaller than the sum of its proper divisors (299445368976000).

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

97550196681600 is a wasteful number, since it uses less digits than its factorization.

97550196681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169212 (or 169192 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 97550196681600 in words is "ninety-seven trillion, five hundred fifty billion, one hundred ninety-six million, six hundred eighty-one thousand, six hundred".