10795457088 has 280 divisors, whose sum is σ = 36280872320. Its totient is φ = 3146480640.

The previous prime is 10795457047. The next prime is 10795457117. The reversal of 10795457088 is 88075459701.

10795457088 is a `hidden beast` number, since 10 + 7 + 9 + 54 + 570 + 8 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1276233 + ... + 1284663.

It is an arithmetic number, because the mean of its divisors is an integer number (129574544).

Almost surely, 2^10795457088 is an apocalyptic number.

10795457088 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 10795457088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18140436160).

10795457088 is an abundant number, since it is smaller than the sum of its proper divisors (25485415232).

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

10795457088 is a wasteful number, since it uses less digits than its factorization.

10795457088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8487 (or 8468 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 10795457088 in words is "ten billion, seven hundred ninety-five million, four hundred fifty-seven thousand, eighty-eight".