11051719482408 has 384 divisors, whose sum is σ = 32623643203200. Its totient is φ = 3106339061760.

The previous prime is 11051719482347. The next prime is 11051719482431. The reversal of 11051719482408 is 80428491715011.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1774233438 + ... + 1774239666.

It is an arithmetic number, because the mean of its divisors is an integer number (84957404175).

Almost surely, 2^{11051719482408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11051719482408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16311821601600).

11051719482408 is an abundant number, since it is smaller than the sum of its proper divisors (21571923720792).

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

11051719482408 is a wasteful number, since it uses less digits than its factorization.

11051719482408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6793 (or 6778 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 51.

The spelling of 11051719482408 in words is "eleven trillion, fifty-one billion, seven hundred nineteen million, four hundred eighty-two thousand, four hundred eight".