35255331160400 has 120 divisors (see below), whose sum is σ = 91286519544024. Its totient is φ = 13007344896000.

The previous prime is 35255331160397. The next prime is 35255331160409. The reversal of 35255331160400 is 406113355253.

It can be written as a sum of positive squares in 12 ways, for example, as 34871481523264 + 383849637136 = 5905208^2 + 619556^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35255331160409) 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, 4159562 + ... + 9370838.

Almost surely, 2^{35255331160400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35255331160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45643259772012).

35255331160400 is an abundant number, since it is smaller than the sum of its proper divisors (56031188383624).

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

35255331160400 is a wasteful number, since it uses less digits than its factorization.

35255331160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212609 (or 5212598 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 38.

The spelling of 35255331160400 in words is "thirty-five trillion, two hundred fifty-five billion, three hundred thirty-one million, one hundred sixty thousand, four hundred".