10742095222320 has 640 divisors, whose sum is σ = 42895595077632. Its totient is φ = 2158163251200.

The previous prime is 10742095222319. The next prime is 10742095222363. The reversal of 10742095222320 is 2322259024701.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 680000662 + ... + 680016458.

Almost surely, 2^{10742095222320} is an apocalyptic number.

10742095222320 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 10742095222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21447797538816).

10742095222320 is an abundant number, since it is smaller than the sum of its proper divisors (32153499855312).

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

10742095222320 is a wasteful number, since it uses less digits than its factorization.

10742095222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17049 (or 17043 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 10742095222320 in words is "ten trillion, seven hundred forty-two billion, ninety-five million, two hundred twenty-two thousand, three hundred twenty".