10742598558720 has 792 divisors, whose sum is σ = 43698269043000. Its totient is φ = 2432868286464.

The previous prime is 10742598558649. The next prime is 10742598558733. The reversal of 10742598558720 is 2785589524701.

10742598558720 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 2 + 5 + 9 + 8 + 558 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1808142787584 + 8934455771136 = 1344672^2 + 2989056^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 246091456 + ... + 246135104.

It is an arithmetic number, because the mean of its divisors is an integer number (55174582125).

Almost surely, 2^{10742598558720} is an apocalyptic number.

10742598558720 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 10742598558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21849134521500).

10742598558720 is an abundant number, since it is smaller than the sum of its proper divisors (32955670484280).

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

10742598558720 is a wasteful number, since it uses less digits than its factorization.

10742598558720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43803 (or 43775 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 10742598558720 in words is "ten trillion, seven hundred forty-two billion, five hundred ninety-eight million, five hundred fifty-eight thousand, seven hundred twenty".