10760795136 has 792 divisors, whose sum is σ = 40996333440. Its totient is φ = 2777628672.

The previous prime is 10760795131. The next prime is 10760795159. The reversal of 10760795136 is 63159706701.

10760795136 is a `hidden beast` number, since 1 + 0 + 7 + 60 + 79 + 513 + 6 = 666.

It is a super-2 number, since 2×10760795136² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10760795091 and 10760795100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10760795131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 228953065 + ... + 228953111.

Almost surely, 2^10760795136 is an apocalyptic number.

10760795136 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 10760795136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20498166720).

10760795136 is an abundant number, since it is smaller than the sum of its proper divisors (30235538304).

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

10760795136 is a wasteful number, since it uses less digits than its factorization.

10760795136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 10760795136 in words is "ten billion, seven hundred sixty million, seven hundred ninety-five thousand, one hundred thirty-six".