10795513080 has 256 divisors, whose sum is σ = 36150312960. Its totient is φ = 2557094400.

The previous prime is 10795513063. The next prime is 10795513147. The reversal of 10795513080 is 8031559701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11901987 + ... + 11902893.

It is an arithmetic number, because the mean of its divisors is an integer number (141212160).

Almost surely, 2^10795513080 is an apocalyptic number.

10795513080 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 10795513080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18075156480).

10795513080 is an abundant number, since it is smaller than the sum of its proper divisors (25354799880).

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

10795513080 is a wasteful number, since it uses less digits than its factorization.

10795513080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 39.

The spelling of 10795513080 in words is "ten billion, seven hundred ninety-five million, five hundred thirteen thousand, eighty".