10795161600 has 720 divisors, whose sum is σ = 42394552200. Its totient is φ = 2707292160.

The previous prime is 10795161599. The next prime is 10795161631. The reversal of 10795161600 is 616159701.

It is a happy number.

10795161600 is a `hidden beast` number, since 10 + 79 + 516 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10795161600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 78796732 + ... + 78796868.

Almost surely, 2^10795161600 is an apocalyptic number.

10795161600 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 10795161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21197276100).

10795161600 is an abundant number, since it is smaller than the sum of its proper divisors (31599390600).

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

10795161600 is a wasteful number, since it uses less digits than its factorization.

10795161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 10795161600 in words is "ten billion, seven hundred ninety-five million, one hundred sixty-one thousand, six hundred".