97828239801600 has 5184 divisors, whose sum is σ = 479809645772800. Its totient is φ = 19037439590400.

The previous prime is 97828239801553. The next prime is 97828239801601. The reversal of 97828239801600 is 610893282879.

97828239801600 is a `hidden beast` number, since 9 + 7 + 8 + 2 + 82 + 398 + 0 + 160 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97828239801601) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 353170540662 + ... + 353170540938.

Almost surely, 2^{97828239801600} is an apocalyptic number.

97828239801600 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 97828239801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239904822886400).

97828239801600 is an abundant number, since it is smaller than the sum of its proper divisors (381981405971200).

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

97828239801600 is a wasteful number, since it uses less digits than its factorization.

97828239801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 97828239801600 in words is "ninety-seven trillion, eight hundred twenty-eight billion, two hundred thirty-nine million, eight hundred one thousand, six hundred".