10701805198656 has 224 divisors, whose sum is σ = 33666196612608. Its totient is φ = 2957444904960.

The previous prime is 10701805198639. The next prime is 10701805198663. The reversal of 10701805198656 is 65689150810701.

It is a happy number.

It is a super-2 number, since 2×10701805198656² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10701805198596 and 10701805198605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69226 + ... + 4626921.

It is an arithmetic number, because the mean of its divisors is an integer number (150295520592).

Almost surely, 2^{10701805198656} is an apocalyptic number.

10701805198656 is a gapful number since it is divisible by the number (16) 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 10701805198656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16833098306304).

10701805198656 is an abundant number, since it is smaller than the sum of its proper divisors (22964391413952).

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

10701805198656 is a wasteful number, since it uses less digits than its factorization.

10701805198656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696269 (or 4696259 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 57.

The spelling of 10701805198656 in words is "ten trillion, seven hundred one billion, eight hundred five million, one hundred ninety-eight thousand, six hundred fifty-six".