10751801794560 has 672 divisors, whose sum is σ = 39595242802752. Its totient is φ = 2797110558720.

The previous prime is 10751801794549. The next prime is 10751801794583. The reversal of 10751801794560 is 6549710815701.

10751801794560 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 1 + 8 + 0 + 1 + 79 + 4 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10751801794497 and 10751801794506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408071307 + ... + 408097653.

It is an arithmetic number, because the mean of its divisors is an integer number (58921492266).

Almost surely, 2^{10751801794560} is an apocalyptic number.

10751801794560 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 10751801794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19797621401376).

10751801794560 is an abundant number, since it is smaller than the sum of its proper divisors (28843441008192).

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

10751801794560 is an frugal number, since it uses more digits than its factorization.

10751801794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26434 (or 26398 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 10751801794560 in words is "ten trillion, seven hundred fifty-one billion, eight hundred one million, seven hundred ninety-four thousand, five hundred sixty".