11873505280 has 416 divisors, whose sum is σ = 36725036544. Its totient is φ = 3581411328.

The previous prime is 11873505271. The next prime is 11873505311. The reversal of 11873505280 is 8250537811.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 31 ways as a sum of consecutive naturals, for example, 42864502 + ... + 42864778.

Almost surely, 2^11873505280 is an apocalyptic number.

11873505280 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 11873505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18362518272).

11873505280 is an abundant number, since it is smaller than the sum of its proper divisors (24851531264).

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

11873505280 is a wasteful number, since it uses less digits than its factorization.

11873505280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 40.

The spelling of 11873505280 in words is "eleven billion, eight hundred seventy-three million, five hundred five thousand, two hundred eighty".