10297603768320 has 2880 divisors, whose sum is σ = 43858464878592. Its totient is φ = 2293235712000.

The previous prime is 10297603768297. The next prime is 10297603768339. The reversal of 10297603768320 is 2386730679201.

10297603768320 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 7 + 603 + 7 + 6 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 251161067500 + ... + 251161067540.

Almost surely, 2^{10297603768320} is an apocalyptic number.

10297603768320 is a gapful number since it is divisible by the number (10) 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 10297603768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21929232439296).

10297603768320 is an abundant number, since it is smaller than the sum of its proper divisors (33560861110272).

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

10297603768320 is an equidigital number, since it uses as much as digits as its factorization.

10297603768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 10297603768320 in words is "ten trillion, two hundred ninety-seven billion, six hundred three million, seven hundred sixty-eight thousand, three hundred twenty".