97666911982080 has 480 divisors, whose sum is σ = 387069709238784. Its totient is φ = 22294957621248.

The previous prime is 97666911982067. The next prime is 97666911982099. The reversal of 97666911982080 is 8028911966679.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×97666911982080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 47 ways as a sum of consecutive naturals, for example, 124277737 + ... + 125061143.

Almost surely, 2^{97666911982080} is an apocalyptic number.

97666911982080 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 97666911982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193534854619392).

97666911982080 is an abundant number, since it is smaller than the sum of its proper divisors (289402797256704).

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

97666911982080 is a wasteful number, since it uses less digits than its factorization.

97666911982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784216 (or 784197 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 97666911982080 in words is "ninety-seven trillion, six hundred sixty-six billion, nine hundred eleven million, nine hundred eighty-two thousand, eighty".