11270435904 has 420 divisors, whose sum is σ = 41865424524. Its totient is φ = 2971551744.

The previous prime is 11270435893. The next prime is 11270435933. The reversal of 11270435904 is 40953407211.

11270435904 is a `hidden beast` number, since 1 + 1 + 27 + 0 + 43 + 590 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6502809600 + 4767626304 = 80640^2 + 69048^2 .

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 59 ways as a sum of consecutive naturals, for example, 3300502 + ... + 3303914.

Almost surely, 2^11270435904 is an apocalyptic number.

11270435904 is a gapful number since it is divisible by the number (14) 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 11270435904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20932712262).

11270435904 is an abundant number, since it is smaller than the sum of its proper divisors (30594988620).

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

11270435904 is a wasteful number, since it uses less digits than its factorization.

11270435904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 11270435904 in words is "eleven billion, two hundred seventy million, four hundred thirty-five thousand, nine hundred four".