10072069001280 has 3360 divisors, whose sum is σ = 44499488140800. Its totient is φ = 2146365112320.

The previous prime is 10072069001233. The next prime is 10072069001327. The reversal of 10072069001280 is 8210096027001.

It is an interprime number because it is at equal distance from previous prime (10072069001233) and next prime (10072069001327).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 127494544281 + ... + 127494544359.

It is an arithmetic number, because the mean of its divisors is an integer number (13243895280).

Almost surely, 2^{10072069001280} is an apocalyptic number.

10072069001280 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 10072069001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22249744070400).

10072069001280 is an abundant number, since it is smaller than the sum of its proper divisors (34427419139520).

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

10072069001280 is a wasteful number, since it uses less digits than its factorization.

10072069001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10072069001280 in words is "ten trillion, seventy-two billion, sixty-nine million, one thousand, two hundred eighty".