97970055697800 has 2304 divisors, whose sum is σ = 405517645209600. Its totient is φ = 21593392128000.

The previous prime is 97970055697783. The next prime is 97970055697823. The reversal of 97970055697800 is 879655007979.

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 (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 212516389570 + ... + 212516390030.

It is an arithmetic number, because the mean of its divisors is an integer number (176005922400).

Almost surely, 2^{97970055697800} is an apocalyptic number.

97970055697800 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 97970055697800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202758822604800).

97970055697800 is an abundant number, since it is smaller than the sum of its proper divisors (307547589511800).

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

97970055697800 is a wasteful number, since it uses less digits than its factorization.

97970055697800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 300056400, while the sum is 72.

The spelling of 97970055697800 in words is "ninety-seven trillion, nine hundred seventy billion, fifty-five million, six hundred ninety-seven thousand, eight hundred".