11018920872960 has 5280 divisors, whose sum is σ = 56671419678720. Its totient is φ = 1986515435520.

The previous prime is 11018920872929. The next prime is 11018920873031. The reversal of 11018920872960 is 6927802981011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11018920872897 and 11018920872906.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 86763156417 + ... + 86763156543.

It is an arithmetic number, because the mean of its divisors is an integer number (10733223424).

Almost surely, 2^{11018920872960} is an apocalyptic number.

11018920872960 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 11018920872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28335709839360).

11018920872960 is an abundant number, since it is smaller than the sum of its proper divisors (45652498805760).

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

11018920872960 is a wasteful number, since it uses less digits than its factorization.

11018920872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 11018920872960 in words is "eleven trillion, eighteen billion, nine hundred twenty million, eight hundred seventy-two thousand, nine hundred sixty".