35775360000000 has 672 divisors, whose sum is σ = 129201382915488. Its totient is φ = 9538560000000.

The previous prime is 35775359999993. The next prime is 35775360000071. The reversal of 35775360000000 is 6357753.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 35775360000000.

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 47 ways as a sum of consecutive naturals, for example, 5759996895 + ... + 5760003105.

Almost surely, 2^{35775360000000} is an apocalyptic number.

35775360000000 is a gapful number since it is divisible by the number (30) 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 35775360000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64600691457744).

35775360000000 is an abundant number, since it is smaller than the sum of its proper divisors (93426022915488).

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

35775360000000 is an frugal number, since it uses more digits than its factorization.

35775360000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6278 (or 6221 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 36.

Adding to 35775360000000 its reverse (6357753), we get a palindrome (35775366357753).

The spelling of 35775360000000 in words is "thirty-five trillion, seven hundred seventy-five billion, three hundred sixty million", and thus it is an aban number.