10701659620240 has 160 divisors (see below), whose sum is σ = 25434884027520. Its totient is φ = 4186227302400.

The previous prime is 10701659620217. The next prime is 10701659620271. The reversal of 10701659620240 is 4202695610701.

It is a super-2 number, since 2×10701659620240² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1206904287 + ... + 1206913153.

It is an arithmetic number, because the mean of its divisors is an integer number (158968025172).

Almost surely, 2^{10701659620240} is an apocalyptic number.

10701659620240 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 10701659620240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12717442013760).

10701659620240 is an abundant number, since it is smaller than the sum of its proper divisors (14733224407280).

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

10701659620240 is a wasteful number, since it uses less digits than its factorization.

10701659620240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10241 (or 10235 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 10701659620240 in words is "ten trillion, seven hundred one billion, six hundred fifty-nine million, six hundred twenty thousand, two hundred forty".