97941665290560 has 1792 divisors, whose sum is σ = 407113154101248. Its totient is φ = 19392174489600.

The previous prime is 97941665290559. The next prime is 97941665290607. The reversal of 97941665290560 is 6509256614979.

It is a super-2 number, since 2×97941665290560² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 33166834044 + ... + 33166836996.

It is an arithmetic number, because the mean of its divisors is an integer number (227183679744).

Almost surely, 2^{97941665290560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97941665290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203556577050624).

97941665290560 is an abundant number, since it is smaller than the sum of its proper divisors (309171488810688).

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

97941665290560 is a wasteful number, since it uses less digits than its factorization.

97941665290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 69.

The spelling of 97941665290560 in words is "ninety-seven trillion, nine hundred forty-one billion, six hundred sixty-five million, two hundred ninety thousand, five hundred sixty".