11875697280 has 256 divisors, whose sum is σ = 42856646400. Its totient is φ = 3106861056.

The previous prime is 11875697263. The next prime is 11875697291. The reversal of 11875697280 is 8279657811.

11875697280 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 569 + 72 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 909357 + ... + 922323.

It is an arithmetic number, because the mean of its divisors is an integer number (167408775).

Almost surely, 2^11875697280 is an apocalyptic number.

11875697280 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 11875697280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21428323200).

11875697280 is an abundant number, since it is smaller than the sum of its proper divisors (30980949120).

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

11875697280 is a wasteful number, since it uses less digits than its factorization.

11875697280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13048 (or 13030 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 11875697280 in words is "eleven billion, eight hundred seventy-five million, six hundred ninety-seven thousand, two hundred eighty".