10555796916000 has 2304 divisors, whose sum is σ = 45907318259712. Its totient is φ = 2245275648000.

The previous prime is 10555796915903. The next prime is 10555796916011. The reversal of 10555796916000 is 61969755501.

10555796916000 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 579 + 6 + 9 + 1 + 60 + 0 + 0 = 666.

It is a super-2 number, since 2×10555796916000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 46501307887 + ... + 46501308113.

It is an arithmetic number, because the mean of its divisors is an integer number (19925051328).

Almost surely, 2^{10555796916000} is an apocalyptic number.

10555796916000 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 10555796916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22953659129856).

10555796916000 is an abundant number, since it is smaller than the sum of its proper divisors (35351521343712).

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

10555796916000 is a wasteful number, since it uses less digits than its factorization.

10555796916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2551500, while the sum is 54.

The spelling of 10555796916000 in words is "ten trillion, five hundred fifty-five billion, seven hundred ninety-six million, nine hundred sixteen thousand".