10097264314368 has 1920 divisors, whose sum is σ = 38997755596800. Its totient is φ = 2548397998080.

The previous prime is 10097264314339. The next prime is 10097264314439. The reversal of 10097264314368 is 86341346279001.

10097264314368 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 7 + 264 + 3 + 14 + 368 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 72642189243 + ... + 72642189381.

It is an arithmetic number, because the mean of its divisors is an integer number (20311331040).

Almost surely, 2^{10097264314368} is an apocalyptic number.

10097264314368 is a gapful number since it is divisible by the number (18) 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 10097264314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498877798400).

10097264314368 is an abundant number, since it is smaller than the sum of its proper divisors (28900491282432).

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

10097264314368 is an equidigital number, since it uses as much as digits as its factorization.

10097264314368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 10097264314368 in words is "ten trillion, ninety-seven billion, two hundred sixty-four million, three hundred fourteen thousand, three hundred sixty-eight".