11872586880 has 512 divisors, whose sum is σ = 52430284800. Its totient is φ = 2466754560.

The previous prime is 11872586819. The next prime is 11872586881. The reversal of 11872586880 is 8868527811.

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

It is not an unprimeable number, because it can be changed into a prime (11872586881) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1326099 + ... + 1335021.

It is an arithmetic number, because the mean of its divisors is an integer number (102402900).

Almost surely, 2^11872586880 is an apocalyptic number.

11872586880 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 11872586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26215142400).

11872586880 is an abundant number, since it is smaller than the sum of its proper divisors (40557697920).

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

11872586880 is a wasteful number, since it uses less digits than its factorization.

11872586880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8969 (or 8951 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 11872586880 in words is "eleven billion, eight hundred seventy-two million, five hundred eighty-six thousand, eight hundred eighty".