97305145264080 has 1920 divisors, whose sum is σ = 384129014169600. Its totient is φ = 22882214983680.

The previous prime is 97305145264007. The next prime is 97305145264087. The reversal of 97305145264080 is 8046254150379.

It is a happy number.

97305145264080 is a `hidden beast` number, since 9 + 7 + 3 + 0 + 51 + 452 + 64 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97305145264087) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 76079080881 + ... + 76079082159.

It is an arithmetic number, because the mean of its divisors is an integer number (200067194880).

It is a 1-persistent number, because it is pandigital, but 2⋅97305145264080 = 194610290528160 is not.

Almost surely, 2^{97305145264080} is an apocalyptic number.

97305145264080 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 97305145264080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192064507084800).

97305145264080 is an abundant number, since it is smaller than the sum of its proper divisors (286823868905520).

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

97305145264080 is a wasteful number, since it uses less digits than its factorization.

97305145264080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 97305145264080 in words is "ninety-seven trillion, three hundred five billion, one hundred forty-five million, two hundred sixty-four thousand, eighty".