97128254361600 has 3744 divisors, whose sum is σ = 453854738937600. Its totient is φ = 19263179980800.

The previous prime is 97128254361581. The next prime is 97128254361631. The reversal of 97128254361600 is 616345282179.

It is a happy number.

97128254361600 is a `hidden beast` number, since 9 + 7 + 1 + 2 + 8 + 25 + 4 + 3 + 6 + 1 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 224314674984 + ... + 224314675416.

It is an arithmetic number, because the mean of its divisors is an integer number (121221885400).

It is a 2-persistent number, because it is pandigital, and so is 2⋅97128254361600 = 194256508723200, but 3⋅97128254361600 = 291384763084800 is not.

Almost surely, 2^{97128254361600} is an apocalyptic number.

97128254361600 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 97128254361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226927369468800).

97128254361600 is an abundant number, since it is smaller than the sum of its proper divisors (356726484576000).

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

97128254361600 is a wasteful number, since it uses less digits than its factorization.

97128254361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 97128254361600 in words is "ninety-seven trillion, one hundred twenty-eight billion, two hundred fifty-four million, three hundred sixty-one thousand, six hundred".