10742815745280 has 360 divisors, whose sum is σ = 38632998096000. Its totient is φ = 2850349658112.

The previous prime is 10742815745267. The next prime is 10742815745297. The reversal of 10742815745280 is 8254751824701.

10742815745280 is a `hidden beast` number, since 1 + 0 + 7 + 42 + 8 + 1 + 5 + 74 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20371981 + ... + 20892659.

It is an arithmetic number, because the mean of its divisors is an integer number (107313883600).

Almost surely, 2^{10742815745280} is an apocalyptic number.

10742815745280 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 10742815745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19316499048000).

10742815745280 is an abundant number, since it is smaller than the sum of its proper divisors (27890182350720).

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

10742815745280 is an equidigital number, since it uses as much as digits as its factorization.

10742815745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520911 (or 520888 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 10742815745280 in words is "ten trillion, seven hundred forty-two billion, eight hundred fifteen million, seven hundred forty-five thousand, two hundred eighty".