10700077106768 has 160 divisors (see below), whose sum is σ = 24095957760000. Its totient is φ = 4508466135552.

The previous prime is 10700077106767. The next prime is 10700077106777. The reversal of 10700077106768 is 86760177000701.

It is a super-2 number, since 2×10700077106768² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10700077106767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3033759821 + ... + 3033763347.

It is an arithmetic number, because the mean of its divisors is an integer number (150599736000).

Almost surely, 2^{10700077106768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10700077106768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12047978880000).

10700077106768 is an abundant number, since it is smaller than the sum of its proper divisors (13395880653232).

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

10700077106768 is a wasteful number, since it uses less digits than its factorization.

10700077106768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5497 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 50.

The spelling of 10700077106768 in words is "ten trillion, seven hundred billion, seventy-seven million, one hundred six thousand, seven hundred sixty-eight".