97258729881600 has 2160 divisors, whose sum is σ = 420015338235360. Its totient is φ = 21998075904000.

The previous prime is 97258729881451. The next prime is 97258729881617. The reversal of 97258729881600 is 618892785279.

97258729881600 is a `hidden beast` number, since 9 + 7 + 2 + 5 + 8 + 7 + 2 + 9 + 8 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54731979912 + ... + 54731981688.

Almost surely, 2^{97258729881600} is an apocalyptic number.

97258729881600 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 97258729881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210007669117680).

97258729881600 is an abundant number, since it is smaller than the sum of its proper divisors (322756608353760).

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

97258729881600 is a wasteful number, since it uses less digits than its factorization.

97258729881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 97258729881600 in words is "ninety-seven trillion, two hundred fifty-eight billion, seven hundred twenty-nine million, eight hundred eighty-one thousand, six hundred".