10268721207360 has 896 divisors, whose sum is σ = 45800923668480. Its totient is φ = 2103697612800.

The previous prime is 10268721207313. The next prime is 10268721207397. The reversal of 10268721207360 is 6370212786201.

10268721207360 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 87 + 2 + 1 + 207 + 360 = 666.

It is a super-2 number, since 2×10268721207360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47126182 + ... + 47343578.

Almost surely, 2^{10268721207360} is an apocalyptic number.

10268721207360 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 10268721207360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900461834240).

10268721207360 is an abundant number, since it is smaller than the sum of its proper divisors (35532202461120).

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

10268721207360 is a wasteful number, since it uses less digits than its factorization.

10268721207360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217512 (or 217496 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 10268721207360 in words is "ten trillion, two hundred sixty-eight billion, seven hundred twenty-one million, two hundred seven thousand, three hundred sixty".