13785970359429 has 24 divisors (see below), whose sum is σ = 20252186785272. Its totient is φ = 9034319387520.

The previous prime is 13785970359373. The next prime is 13785970359439. The reversal of 13785970359429 is 92495307958731.

13785970359429 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 5 + 9 + 7 + 0 + 3 + 594 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 986734289025 + 12799236070404 = 993345^2 + 3577602^2 .

It is not a de Polignac number, because 13785970359429 - 2²⁹ = 13785433488517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13785970359439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6985194 + ... + 8738699.

It is an arithmetic number, because the mean of its divisors is an integer number (843841116053).

Almost surely, 2^{13785970359429} is an apocalyptic number.

It is an amenable number.

13785970359429 is a deficient number, since it is larger than the sum of its proper divisors (6466216425843).

13785970359429 is a wasteful number, since it uses less digits than its factorization.

13785970359429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15725557 (or 15725554 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 72.

The spelling of 13785970359429 in words is "thirteen trillion, seven hundred eighty-five billion, nine hundred seventy million, three hundred fifty-nine thousand, four hundred twenty-nine".