11054983680 has 480 divisors, whose sum is σ = 42790011264. Its totient is φ = 2719236096.

The previous prime is 11054983661. The next prime is 11054983697. The reversal of 11054983680 is 8638945011.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8086357 + ... + 8087723.

Almost surely, 2^11054983680 is an apocalyptic number.

11054983680 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 11054983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21395005632).

11054983680 is an abundant number, since it is smaller than the sum of its proper divisors (31735027584).

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

11054983680 is an equidigital number, since it uses as much as digits as its factorization.

11054983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 11054983680 in words is "eleven billion, fifty-four million, nine hundred eighty-three thousand, six hundred eighty".