13785077335788 has 144 divisors (see below), whose sum is σ = 40486740263424. Its totient is φ = 4064396149440.

The previous prime is 13785077335763. The next prime is 13785077335811. The reversal of 13785077335788 is 88753377058731.

13785077335788 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 507 + 7 + 3 + 35 + 7 + 88 = 666.

It is a super-4 number, since 4×13785077335788⁴ (a number of 54 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17027220 + ... + 17818427.

It is an arithmetic number, because the mean of its divisors is an integer number (281157918496).

Almost surely, 2^{13785077335788} is an apocalyptic number.

13785077335788 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13785077335788 is an abundant number, since it is smaller than the sum of its proper divisors (26701662927636).

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

13785077335788 is a wasteful number, since it uses less digits than its factorization.

13785077335788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34845714 (or 34845700 counting only the distinct ones).

The product of its (nonzero) digits is 829785600, while the sum is 72.

The spelling of 13785077335788 in words is "thirteen trillion, seven hundred eighty-five billion, seventy-seven million, three hundred thirty-five thousand, seven hundred eighty-eight".