11016115080480 has 768 divisors, whose sum is σ = 41068447580160. Its totient is φ = 2748365144064.

The previous prime is 11016115080413. The next prime is 11016115080637. The reversal of 11016115080480 is 8408051161011.

11016115080480 is a `hidden beast` number, since 1 + 1 + 0 + 161 + 15 + 0 + 8 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12854276212 + ... + 12854277068.

It is an arithmetic number, because the mean of its divisors is an integer number (53474541120).

Almost surely, 2^{11016115080480} is an apocalyptic number.

11016115080480 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 11016115080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20534223790080).

11016115080480 is an abundant number, since it is smaller than the sum of its proper divisors (30052332499680).

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

11016115080480 is a wasteful number, since it uses less digits than its factorization.

11016115080480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 36.

The spelling of 11016115080480 in words is "eleven trillion, sixteen billion, one hundred fifteen million, eighty thousand, four hundred eighty".