12835826509140 has 60 divisors (see below), whose sum is σ = 40266463165236. Its totient is φ = 3422887068672.

The previous prime is 12835826509091. The next prime is 12835826509141. The reversal of 12835826509140 is 4190562853821.

12835826509140 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 582 + 6 + 50 + 9 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2165947984656 + 10669878524484 = 1471716^2 + 3266478^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12835826509141) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3961673229 + ... + 3961676468.

Almost surely, 2^{12835826509140} is an apocalyptic number.

12835826509140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12835826509140 is an abundant number, since it is smaller than the sum of its proper divisors (27430636656096).

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

12835826509140 is a wasteful number, since it uses less digits than its factorization.

12835826509140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7923349718 (or 7923349707 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 12835826509140 in words is "twelve trillion, eight hundred thirty-five billion, eight hundred twenty-six million, five hundred nine thousand, one hundred forty".