11480905800 has 1728 divisors, whose sum is σ = 55571443200. Its totient is φ = 2090188800.

The previous prime is 11480905753. The next prime is 11480905823. The reversal of 11480905800 is 850908411.

11480905800 is a `hidden beast` number, since 11 + 480 + 90 + 5 + 80 + 0 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×11480905800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 431 ways as a sum of consecutive naturals, for example, 370351785 + ... + 370351815.

It is an arithmetic number, because the mean of its divisors is an integer number (32159400).

Almost surely, 2^11480905800 is an apocalyptic number.

11480905800 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 11480905800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27785721600).

11480905800 is an abundant number, since it is smaller than the sum of its proper divisors (44090537400).

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

11480905800 is a wasteful number, since it uses less digits than its factorization.

11480905800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 11480905800 in words is "eleven billion, four hundred eighty million, nine hundred five thousand, eight hundred".