12579076823040 has 1152 divisors, whose sum is σ = 55508960707200. Its totient is φ = 2562478571520.

The previous prime is 12579076823003. The next prime is 12579076823057. The reversal of 12579076823040 is 4032867097521.

It is a happy number.

12579076823040 is a `hidden beast` number, since 1 + 2 + 579 + 0 + 7 + 6 + 8 + 23 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243184380 + ... + 243236100.

It is an arithmetic number, because the mean of its divisors is an integer number (48184861725).

It is a 1-persistent number, because it is pandigital, but 2⋅12579076823040 = 25158153646080 is not.

Almost surely, 2^{12579076823040} is an apocalyptic number.

12579076823040 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 12579076823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27754480353600).

12579076823040 is an abundant number, since it is smaller than the sum of its proper divisors (42929883884160).

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

12579076823040 is a wasteful number, since it uses less digits than its factorization.

12579076823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51803 (or 51780 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 12579076823040 in words is "twelve trillion, five hundred seventy-nine billion, seventy-six million, eight hundred twenty-three thousand, forty".