10092390105248 has 576 divisors, whose sum is σ = 23977078272000. Its totient is φ = 4164631511040.

The previous prime is 10092390105227. The next prime is 10092390105257. The reversal of 10092390105248 is 84250109329001.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 10092390105199 and 10092390105208.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44071572398 + ... + 44071572626.

It is an arithmetic number, because the mean of its divisors is an integer number (41626872000).

Almost surely, 2^{10092390105248} 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 10092390105248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11988539136000).

10092390105248 is an abundant number, since it is smaller than the sum of its proper divisors (13884688166752).

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

10092390105248 is a wasteful number, since it uses less digits than its factorization.

10092390105248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The spelling of 10092390105248 in words is "ten trillion, ninety-two billion, three hundred ninety million, one hundred five thousand, two hundred forty-eight".