35475145056 has 288 divisors, whose sum is σ = 112808928960. Its totient is φ = 10499715072.

The previous prime is 35475145049. The next prime is 35475145073. The reversal of 35475145056 is 65054157453.

35475145056 is a `hidden beast` number, since 3 + 547 + 5 + 1 + 4 + 50 + 56 = 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 47 ways as a sum of consecutive naturals, for example, 43104261 + ... + 43105083.

It is an arithmetic number, because the mean of its divisors is an integer number (391697670).

Almost surely, 2^35475145056 is an apocalyptic number.

35475145056 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 35475145056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56404464480).

35475145056 is an abundant number, since it is smaller than the sum of its proper divisors (77333783904).

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

35475145056 is a wasteful number, since it uses less digits than its factorization.

35475145056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 35475145056 in words is "thirty-five billion, four hundred seventy-five million, one hundred forty-five thousand, fifty-six".