97780253313600 has 1008 divisors, whose sum is σ = 410574325936320. Its totient is φ = 21758574182400.

The previous prime is 97780253313443. The next prime is 97780253313643. The reversal of 97780253313600 is 631335208779.

97780253313600 is a `hidden beast` number, since 9 + 7 + 7 + 8 + 0 + 25 + 3 + 3 + 1 + 3 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 368464162 + ... + 368729438.

It is an arithmetic number, because the mean of its divisors is an integer number (407315799540).

Almost surely, 2^{97780253313600} is an apocalyptic number.

97780253313600 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 97780253313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205287162968160).

97780253313600 is an abundant number, since it is smaller than the sum of its proper divisors (312794072622720).

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

97780253313600 is a wasteful number, since it uses less digits than its factorization.

97780253313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265508 (or 265490 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 97780253313600 in words is "ninety-seven trillion, seven hundred eighty billion, two hundred fifty-three million, three hundred thirteen thousand, six hundred".