35055947248 has 160 divisors (see below), whose sum is σ = 85208260608. Its totient is φ = 13624934400.

The previous prime is 35055947177. The next prime is 35055947249. The reversal of 35055947248 is 84274955053.

It is a junction number, because it is equal to n+sod(n) for n = 35055947195 and 35055947204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35055947249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15168013 + ... + 15170323.

Almost surely, 2^35055947248 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 35055947248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42604130304).

35055947248 is an abundant number, since it is smaller than the sum of its proper divisors (50152313360).

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

35055947248 is a wasteful number, since it uses less digits than its factorization.

35055947248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 52.

The spelling of 35055947248 in words is "thirty-five billion, fifty-five million, nine hundred forty-seven thousand, two hundred forty-eight".