35027349820416 has 528 divisors, whose sum is σ = 110911841284608. Its totient is φ = 11023456665600.

The previous prime is 35027349820367. The next prime is 35027349820469. The reversal of 35027349820416 is 61402894372053.

35027349820416 is a `hidden beast` number, since 3 + 50 + 2 + 73 + 4 + 98 + 20 + 416 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316210096 + ... + 316320848.

It is a 1-persistent number, because it is pandigital, but 2⋅35027349820416 = 70054699640832 is not.

Almost surely, 2^{35027349820416} is an apocalyptic number.

35027349820416 is a gapful number since it is divisible by the number (36) 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 35027349820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55455920642304).

35027349820416 is an abundant number, since it is smaller than the sum of its proper divisors (75884491464192).

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

35027349820416 is a wasteful number, since it uses less digits than its factorization.

35027349820416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110860 (or 110830 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 35027349820416 in words is "thirty-five trillion, twenty-seven billion, three hundred forty-nine million, eight hundred twenty thousand, four hundred sixteen".