97970776800120 has 768 divisors, whose sum is σ = 384055955712000. Its totient is φ = 21186044006400.

The previous prime is 97970776800077. The next prime is 97970776800131. The reversal of 97970776800120 is 2100867707979.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1340908390 + ... + 1340981450.

It is an arithmetic number, because the mean of its divisors is an integer number (500072859000).

Almost surely, 2^{97970776800120} is an apocalyptic number.

97970776800120 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 97970776800120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192027977856000).

97970776800120 is an abundant number, since it is smaller than the sum of its proper divisors (286085178911880).

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

97970776800120 is a wasteful number, since it uses less digits than its factorization.

97970776800120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73484 (or 73477 counting only the distinct ones).

The product of its (nonzero) digits is 18670176, while the sum is 63.

The spelling of 97970776800120 in words is "ninety-seven trillion, nine hundred seventy billion, seven hundred seventy-six million, eight hundred thousand, one hundred twenty".