10795005406080 has 576 divisors, whose sum is σ = 44238118186080. Its totient is φ = 2467423088640.

The previous prime is 10795005406039. The next prime is 10795005406099. The reversal of 10795005406080 is 8060450059701.

10795005406080 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 500 + 5 + 4 + 0 + 60 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29209650 + ... + 29576910.

Almost surely, 2^{10795005406080} is an apocalyptic number.

10795005406080 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 10795005406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22119059093040).

10795005406080 is an abundant number, since it is smaller than the sum of its proper divisors (33443112780000).

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

10795005406080 is an frugal number, since it uses more digits than its factorization.

10795005406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367311 (or 367278 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 10795005406080 in words is "ten trillion, seven hundred ninety-five billion, five million, four hundred six thousand, eighty".