12575969280 has 936 divisors, whose sum is σ = 54526110912. Its totient is φ = 2723217408.

The previous prime is 12575969251. The next prime is 12575969311. The reversal of 12575969280 is 8296957521.

12575969280 is a `hidden beast` number, since 1 + 2 + 575 + 9 + 69 + 2 + 8 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 661893111 + ... + 661893129.

It is an arithmetic number, because the mean of its divisors is an integer number (58254392).

Almost surely, 2^12575969280 is an apocalyptic number.

12575969280 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 12575969280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27263055456).

12575969280 is an abundant number, since it is smaller than the sum of its proper divisors (41950141632).

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

12575969280 is an frugal number, since it uses more digits than its factorization.

12575969280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 12575969280 in words is "twelve billion, five hundred seventy-five million, nine hundred sixty-nine thousand, two hundred eighty".