97923208642560 has 4080 divisors, whose sum is σ = 446762394688896. Its totient is φ = 20376163713024.

The previous prime is 97923208642559. The next prime is 97923208642601. The reversal of 97923208642560 is 6524680232979.

It is a happy number.

97923208642560 is a `hidden beast` number, since 9 + 7 + 9 + 2 + 3 + 2 + 0 + 8 + 64 + 2 + 560 = 666.

97923208642560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4080).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 950710763469 + ... + 950710763571.

Almost surely, 2^{97923208642560} is an apocalyptic number.

97923208642560 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 97923208642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223381197344448).

97923208642560 is an abundant number, since it is smaller than the sum of its proper divisors (348839186046336).

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

97923208642560 is a wasteful number, since it uses less digits than its factorization.

97923208642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 97923208642560 in words is "ninety-seven trillion, nine hundred twenty-three billion, two hundred eight million, six hundred forty-two thousand, five hundred sixty".