10010643872320 has 448 divisors, whose sum is σ = 31306220628480. Its totient is φ = 2960328425472.

The previous prime is 10010643872291. The next prime is 10010643872351. The reversal of 10010643872320 is 2327834601001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 10010643872320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40265514 + ... + 40513366.

It is an arithmetic number, because the mean of its divisors is an integer number (69879956760).

Almost surely, 2^{10010643872320} is an apocalyptic number.

10010643872320 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 10010643872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15653110314240).

10010643872320 is an abundant number, since it is smaller than the sum of its proper divisors (21295576756160).

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

10010643872320 is a wasteful number, since it uses less digits than its factorization.

10010643872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247982 (or 247972 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 10010643872320 in words is "ten trillion, ten billion, six hundred forty-three million, eight hundred seventy-two thousand, three hundred twenty".