10795011606288 has 1080 divisors, whose sum is σ = 39414570931008. Its totient is φ = 2733575040000.

The previous prime is 10795011606277. The next prime is 10795011606293. The reversal of 10795011606288 is 88260611059701.

It is a happy number.

10795011606288 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 5 + 0 + 1 + 1 + 6 + 0 + 628 + 8 = 666.

It is a super-2 number, since 2×10795011606288² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 13310741403 + ... + 13310742213.

Almost surely, 2^{10795011606288} is an apocalyptic number.

10795011606288 is a gapful number since it is divisible by the number (18) 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 10795011606288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19707285465504).

10795011606288 is an abundant number, since it is smaller than the sum of its proper divisors (28619559324720).

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

10795011606288 is a wasteful number, since it uses less digits than its factorization.

10795011606288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 10795011606288 in words is "ten trillion, seven hundred ninety-five billion, eleven million, six hundred six thousand, two hundred eighty-eight".