12078581760 has 576 divisors, whose sum is σ = 49698230400. Its totient is φ = 2725871616.

The previous prime is 12078581759. The next prime is 12078581773. The reversal of 12078581760 is 6718587021.

It is a happy number.

12078581760 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 8 + 581 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 152893401 + ... + 152893479.

It is an arithmetic number, because the mean of its divisors is an integer number (86281650).

Almost surely, 2^12078581760 is an apocalyptic number.

12078581760 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 12078581760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24849115200).

12078581760 is an abundant number, since it is smaller than the sum of its proper divisors (37619648640).

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

12078581760 is an frugal number, since it uses more digits than its factorization.

12078581760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 12078581760 in words is "twelve billion, seventy-eight million, five hundred eighty-one thousand, seven hundred sixty".