10919555136 has 336 divisors, whose sum is σ = 38638886400. Its totient is φ = 3011613696.

The previous prime is 10919555117. The next prime is 10919555137. The reversal of 10919555136 is 63155591901.

10919555136 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 95 + 551 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 10919555091 and 10919555100.

It is not an unprimeable number, because it can be changed into a prime (10919555137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2453265 + ... + 2457711.

Almost surely, 2^10919555136 is an apocalyptic number.

10919555136 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 10919555136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19319443200).

10919555136 is an abundant number, since it is smaller than the sum of its proper divisors (27719331264).

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

10919555136 is a wasteful number, since it uses less digits than its factorization.

10919555136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 182250, while the sum is 45.

The spelling of 10919555136 in words is "ten billion, nine hundred nineteen million, five hundred fifty-five thousand, one hundred thirty-six".