35385768000000 has 2240 divisors, whose sum is σ = 146044168110720. Its totient is φ = 8386560000000.

The previous prime is 35385767999969. The next prime is 35385768000013. The reversal of 35385768000000 is 86758353.

35385768000000 is a `hidden beast` number, since 3 + 538 + 57 + 68 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 35385768000000.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 125927999860 + ... + 125928000140.

Almost surely, 2^{35385768000000} is an apocalyptic number.

35385768000000 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 35385768000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73022084055360).

35385768000000 is an abundant number, since it is smaller than the sum of its proper divisors (110658400110720).

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

35385768000000 is an frugal number, since it uses more digits than its factorization.

35385768000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 35385768000000 in words is "thirty-five trillion, three hundred eighty-five billion, seven hundred sixty-eight million", and thus it is an aban number.