12786298565040 has 1600 divisors, whose sum is σ = 59749605780480. Its totient is φ = 2447421972480.

The previous prime is 12786298565039. The next prime is 12786298565063. The reversal of 12786298565040 is 4056589268721.

12786298565040 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 6 + 29 + 8 + 565 + 0 + 40 = 666.

It is a super-2 number, since 2×12786298565040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3612967591 + ... + 3612971129.

Almost surely, 2^{12786298565040} is an apocalyptic number.

12786298565040 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 12786298565040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29874802890240).

12786298565040 is an abundant number, since it is smaller than the sum of its proper divisors (46963307215440).

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

12786298565040 is a wasteful number, since it uses less digits than its factorization.

12786298565040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 12786298565040 in words is "twelve trillion, seven hundred eighty-six billion, two hundred ninety-eight million, five hundred sixty-five thousand, forty".