10093274354688 has 1056 divisors, whose sum is σ = 34107067623168. Its totient is φ = 2635805491200.

The previous prime is 10093274354633. The next prime is 10093274354689. The reversal of 10093274354688 is 88645347239001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10093274354689) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13263172228 + ... + 13263172988.

It is a 2-persistent number, because it is pandigital, and so is 2⋅10093274354688 = 20186548709376, but 3⋅10093274354688 = 30279823064064 is not.

Almost surely, 2^{10093274354688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10093274354688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17053533811584).

10093274354688 is an abundant number, since it is smaller than the sum of its proper divisors (24013793268480).

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

10093274354688 is a wasteful number, since it uses less digits than its factorization.

10093274354688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 10093274354688 in words is "ten trillion, ninety-three billion, two hundred seventy-four million, three hundred fifty-four thousand, six hundred eighty-eight".