35255672064 has 288 divisors, whose sum is σ = 108496174080. Its totient is φ = 11280384000.

The previous prime is 35255672051. The next prime is 35255672113. The reversal of 35255672064 is 46027655253.

35255672064 is a `hidden beast` number, since 3 + 5 + 2 + 5 + 567 + 20 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29354664 + ... + 29355864.

Almost surely, 2^35255672064 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 35255672064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54248087040).

35255672064 is an abundant number, since it is smaller than the sum of its proper divisors (73240502016).

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

35255672064 is a wasteful number, since it uses less digits than its factorization.

35255672064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 35255672064 in words is "thirty-five billion, two hundred fifty-five million, six hundred seventy-two thousand, sixty-four".