10793225189376 has 1920 divisors, whose sum is σ = 40337256960000. Its totient is φ = 2867739033600.

The previous prime is 10793225189339. The next prime is 10793225189387. The reversal of 10793225189376 is 67398152239701.

10793225189376 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 3 + 2 + 251 + 8 + 9 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51152725911 + ... + 51152726121.

It is an arithmetic number, because the mean of its divisors is an integer number (21008988000).

Almost surely, 2^{10793225189376} is an apocalyptic number.

10793225189376 is a gapful number since it is divisible by the number (16) 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 10793225189376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20168628480000).

10793225189376 is an abundant number, since it is smaller than the sum of its proper divisors (29544031770624).

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

10793225189376 is an equidigital number, since it uses as much as digits as its factorization.

10793225189376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 10793225189376 in words is "ten trillion, seven hundred ninety-three billion, two hundred twenty-five million, one hundred eighty-nine thousand, three hundred seventy-six".