97760523144960 has 2304 divisors, whose sum is σ = 410669360640000. Its totient is φ = 21803511840768.

The previous prime is 97760523144923. The next prime is 97760523144983. The reversal of 97760523144960 is 6944132506779.

97760523144960 is a `hidden beast` number, since 9 + 7 + 7 + 6 + 0 + 523 + 1 + 4 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26983305709 + ... + 26983309331.

It is an arithmetic number, because the mean of its divisors is an integer number (178241910000).

Almost surely, 2^{97760523144960} is an apocalyptic number.

97760523144960 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 97760523144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205334680320000).

97760523144960 is an abundant number, since it is smaller than the sum of its proper divisors (312908837495040).

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

97760523144960 is a wasteful number, since it uses less digits than its factorization.

97760523144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 97760523144960 in words is "ninety-seven trillion, seven hundred sixty billion, five hundred twenty-three million, one hundred forty-four thousand, nine hundred sixty".