11270346000 has 160 divisors (see below), whose sum is σ = 36423049728. Its totient is φ = 2998195200.

The previous prime is 11270345981. The next prime is 11270346013. The reversal of 11270346000 is 64307211.

11270346000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2775972 + ... + 2780028.

Almost surely, 2^11270346000 is an apocalyptic number.

11270346000 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 11270346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18211524864).

11270346000 is an abundant number, since it is smaller than the sum of its proper divisors (25152703728).

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

11270346000 is a wasteful number, since it uses less digits than its factorization.

11270346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 11270346000 in words is "eleven billion, two hundred seventy million, three hundred forty-six thousand".