97695960122880 has 2240 divisors, whose sum is σ = 413865285926400. Its totient is φ = 21642889789440.

The previous prime is 97695960122861. The next prime is 97695960122897. The reversal of 97695960122880 is 8822106959679.

97695960122880 is a `hidden beast` number, since 9 + 7 + 6 + 9 + 5 + 9 + 601 + 2 + 2 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a junction number, because it is equal to n+sod(n) for n = 97695960122799 and 97695960122808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 95874347011 + ... + 95874348029.

It is an arithmetic number, because the mean of its divisors is an integer number (184761288360).

Almost surely, 2^{97695960122880} is an apocalyptic number.

97695960122880 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 97695960122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206932642963200).

97695960122880 is an abundant number, since it is smaller than the sum of its proper divisors (316169325803520).

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

97695960122880 is a wasteful number, since it uses less digits than its factorization.

97695960122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 97695960122880 in words is "ninety-seven trillion, six hundred ninety-five billion, nine hundred sixty million, one hundred twenty-two thousand, eight hundred eighty".