10096797207840 has 2304 divisors, whose sum is σ = 42672249446400. Its totient is φ = 1957432393728.

The previous prime is 10096797207839. The next prime is 10096797207841. The reversal of 10096797207840 is 4870279769001.

It is an interprime number because it is at equal distance from previous prime (10096797207839) and next prime (10096797207841).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (10096797207841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 60459863437 + ... + 60459863603.

It is an arithmetic number, because the mean of its divisors is an integer number (18520941600).

Almost surely, 2^{10096797207840} is an apocalyptic number.

10096797207840 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 10096797207840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21336124723200).

10096797207840 is an abundant number, since it is smaller than the sum of its proper divisors (32575452238560).

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

10096797207840 is a wasteful number, since it uses less digits than its factorization.

10096797207840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 60.

The spelling of 10096797207840 in words is "ten trillion, ninety-six billion, seven hundred ninety-seven million, two hundred seven thousand, eight hundred forty".