97942965419520 has 960 divisors, whose sum is σ = 377639792006400. Its totient is φ = 24050296258560.

The previous prime is 97942965419501. The next prime is 97942965419531. The reversal of 97942965419520 is 2591456924979.

97942965419520 is a `hidden beast` number, since 9 + 7 + 9 + 4 + 2 + 96 + 5 + 4 + 1 + 9 + 520 = 666.

97942965419520 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 (960).

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 95 ways as a sum of consecutive naturals, for example, 4894446315 + ... + 4894466325.

It is an arithmetic number, because the mean of its divisors is an integer number (393374783340).

Almost surely, 2^{97942965419520} is an apocalyptic number.

97942965419520 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 97942965419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188819896003200).

97942965419520 is an abundant number, since it is smaller than the sum of its proper divisors (279696826586880).

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

97942965419520 is a wasteful number, since it uses less digits than its factorization.

97942965419520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20488 (or 20453 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 97942965419520 in words is "ninety-seven trillion, nine hundred forty-two billion, nine hundred sixty-five million, four hundred nineteen thousand, five hundred twenty".