12901295554560 has 1280 divisors, whose sum is σ = 53371557201600. Its totient is φ = 2920393211904.

The previous prime is 12901295554397. The next prime is 12901295554577. The reversal of 12901295554560 is 6545559210921.

12901295554560 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 1 + 2 + 95 + 5 + 545 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×12901295554560² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12901295554497 and 12901295554506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10497392026 + ... + 10497393254.

Almost surely, 2^{12901295554560} is an apocalyptic number.

12901295554560 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 12901295554560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26685778600800).

12901295554560 is an abundant number, since it is smaller than the sum of its proper divisors (40470261647040).

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

12901295554560 is an equidigital number, since it uses as much as digits as its factorization.

12901295554560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 54.

The spelling of 12901295554560 in words is "twelve trillion, nine hundred one billion, two hundred ninety-five million, five hundred fifty-four thousand, five hundred sixty".