11058774480 has 240 divisors, whose sum is σ = 41478178560. Its totient is φ = 2722097664.

The previous prime is 11058774439. The next prime is 11058774481. The reversal of 11058774480 is 8447785011.

11058774480 is a `hidden beast` number, since 110 + 58 + 7 + 7 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11058774481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230841 + ... + 274599.

It is an arithmetic number, because the mean of its divisors is an integer number (172825744).

Almost surely, 2^11058774480 is an apocalyptic number.

11058774480 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 11058774480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20739089280).

11058774480 is an abundant number, since it is smaller than the sum of its proper divisors (30419404080).

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

11058774480 is a wasteful number, since it uses less digits than its factorization.

11058774480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43800 (or 43782 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 11058774480 in words is "eleven billion, fifty-eight million, seven hundred seventy-four thousand, four hundred eighty".