11225359080 has 640 divisors, whose sum is σ = 43897502880. Its totient is φ = 2548039680.

The previous prime is 11225359007. The next prime is 11225359099. The reversal of 11225359080 is 8095352211.

11225359080 is a `hidden beast` number, since 1 + 1 + 225 + 359 + 0 + 80 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 995654916 + 10229704164 = 31554^2 + 101142^2 .

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 159 ways as a sum of consecutive naturals, for example, 43678312 + ... + 43678568.

Almost surely, 2^11225359080 is an apocalyptic number.

11225359080 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 11225359080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21948751440).

11225359080 is an abundant number, since it is smaller than the sum of its proper divisors (32672143800).

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

11225359080 is a wasteful number, since it uses less digits than its factorization.

11225359080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 11225359080 in words is "eleven billion, two hundred twenty-five million, three hundred fifty-nine thousand, eighty".