11030599996416 has 4224 divisors, whose sum is σ = 48608705249280. Its totient is φ = 2391175987200.

The previous prime is 11030599996397. The next prime is 11030599996421. The reversal of 11030599996416 is 61469999503011.

11030599996416 is a `hidden beast` number, since 1 + 1 + 0 + 30 + 599 + 9 + 9 + 6 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 256525581291 + ... + 256525581333.

It is an arithmetic number, because the mean of its divisors is an integer number (11507742720).

Almost surely, 2^{11030599996416} is an apocalyptic number.

11030599996416 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 11030599996416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24304352624640).

11030599996416 is an abundant number, since it is smaller than the sum of its proper divisors (37578105252864).

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

11030599996416 is a wasteful number, since it uses less digits than its factorization.

11030599996416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 14171760, while the sum is 63.

The spelling of 11030599996416 in words is "eleven trillion, thirty billion, five hundred ninety-nine million, nine hundred ninety-six thousand, four hundred sixteen".