12409759872 has 320 divisors, whose sum is σ = 38013360000. Its totient is φ = 4017641472.

The previous prime is 12409759849. The next prime is 12409759891. The reversal of 12409759872 is 27895790421.

12409759872 is a `hidden beast` number, since 1 + 2 + 40 + 9 + 7 + 598 + 7 + 2 = 666.

It is a super-3 number, since 3×12409759872³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89278779 + ... + 89278917.

It is an arithmetic number, because the mean of its divisors is an integer number (118791750).

Almost surely, 2^12409759872 is an apocalyptic number.

12409759872 is a gapful number since it is divisible by the number (12) 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 12409759872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19006680000).

12409759872 is an abundant number, since it is smaller than the sum of its proper divisors (25603600128).

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

12409759872 is a wasteful number, since it uses less digits than its factorization.

12409759872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 12409759872 in words is "twelve billion, four hundred nine million, seven hundred fifty-nine thousand, eight hundred seventy-two".