11270898408 has 512 divisors, whose sum is σ = 39176110080. Its totient is φ = 2612736000.

The previous prime is 11270898407. The next prime is 11270898467. The reversal of 11270898408 is 80489807211.

11270898408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11270898408³ (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11270898407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69146535 + ... + 69146697.

It is an arithmetic number, because the mean of its divisors is an integer number (76515840).

Almost surely, 2^11270898408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11270898408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19588055040).

11270898408 is an abundant number, since it is smaller than the sum of its proper divisors (27905211672).

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

11270898408 is a wasteful number, since it uses less digits than its factorization.

11270898408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The spelling of 11270898408 in words is "eleven billion, two hundred seventy million, eight hundred ninety-eight thousand, four hundred eight".