10801550107296 has 288 divisors, whose sum is σ = 33524684863488. Its totient is φ = 3279140444160.

The previous prime is 10801550107253. The next prime is 10801550107301. The reversal of 10801550107296 is 69270105510801.

10801550107296 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 1 + 550 + 1 + 0 + 7 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10801550107296² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86000575 + ... + 86126081.

It is an arithmetic number, because the mean of its divisors is an integer number (116405155776).

Almost surely, 2^{10801550107296} is an apocalyptic number.

10801550107296 is a gapful number since it is divisible by the number (16) 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 10801550107296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16762342431744).

10801550107296 is an abundant number, since it is smaller than the sum of its proper divisors (22723134756192).

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

10801550107296 is a wasteful number, since it uses less digits than its factorization.

10801550107296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125844 (or 125833 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 10801550107296 in words is "ten trillion, eight hundred one billion, five hundred fifty million, one hundred seven thousand, two hundred ninety-six".