97720293888000 has 3328 divisors, whose sum is σ = 433510182144000. Its totient is φ = 21693372825600.

The previous prime is 97720293887989. The next prime is 97720293888023. The reversal of 97720293888000 is 88839202779.

It is a happy number.

97720293888000 is a `hidden beast` number, since 97 + 72 + 0 + 29 + 388 + 80 + 0 + 0 = 666.

It is a super-3 number, since 3×97720293888000³ (a number of 43 digits) contains 333 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 175440383722 + ... + 175440384278.

It is an arithmetic number, because the mean of its divisors is an integer number (130261473000).

Almost surely, 2^{97720293888000} is an apocalyptic number.

97720293888000 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 97720293888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216755091072000).

97720293888000 is an abundant number, since it is smaller than the sum of its proper divisors (335789888256000).

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

97720293888000 is an equidigital number, since it uses as much as digits as its factorization.

97720293888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 97720293888000 in words is "ninety-seven trillion, seven hundred twenty billion, two hundred ninety-three million, eight hundred eighty-eight thousand".