10293679793280 has 2048 divisors, whose sum is σ = 39465551462400. Its totient is φ = 2260960542720.

The previous prime is 10293679793273. The next prime is 10293679793381. The reversal of 10293679793280 is 8239797639201.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 106120410192 + ... + 106120410288.

It is an arithmetic number, because the mean of its divisors is an integer number (19270288800).

Almost surely, 2^{10293679793280} is an apocalyptic number.

10293679793280 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 10293679793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19732775731200).

10293679793280 is an abundant number, since it is smaller than the sum of its proper divisors (29171871669120).

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

10293679793280 is a wasteful number, since it uses less digits than its factorization.

10293679793280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 66.

The spelling of 10293679793280 in words is "ten trillion, two hundred ninety-three billion, six hundred seventy-nine million, seven hundred ninety-three thousand, two hundred eighty".