12584764211280 has 320 divisors, whose sum is σ = 42933989191680. Its totient is φ = 3035227852800.

The previous prime is 12584764211267. The next prime is 12584764211317. The reversal of 12584764211280 is 8211246748521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54527325 + ... + 54757635.

It is an arithmetic number, because the mean of its divisors is an integer number (134168716224).

Almost surely, 2^{12584764211280} is an apocalyptic number.

12584764211280 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 12584764211280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21466994595840).

12584764211280 is an abundant number, since it is smaller than the sum of its proper divisors (30349224980400).

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

12584764211280 is a wasteful number, since it uses less digits than its factorization.

12584764211280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230890 (or 230884 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 12584764211280 in words is "twelve trillion, five hundred eighty-four billion, seven hundred sixty-four million, two hundred eleven thousand, two hundred eighty".