11427958080 has 672 divisors, whose sum is σ = 50725059840. Its totient is φ = 2291466240.

The previous prime is 11427958067. The next prime is 11427958099. The reversal of 11427958080 is 8085972411.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6430152 + ... + 6431928.

It is an arithmetic number, because the mean of its divisors is an integer number (75483720).

Almost surely, 2^11427958080 is an apocalyptic number.

11427958080 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 11427958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25362529920).

11427958080 is an abundant number, since it is smaller than the sum of its proper divisors (39297101760).

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

11427958080 is a wasteful number, since it uses less digits than its factorization.

11427958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 11427958080 in words is "eleven billion, four hundred twenty-seven million, nine hundred fifty-eight thousand, eighty".