35052812057952 has 288 divisors, whose sum is σ = 114160294291680. Its totient is φ = 10106708705280.

The previous prime is 35052812057917. The next prime is 35052812057957. The reversal of 35052812057952 is 25975021825053.

35052812057952 is a `hidden beast` number, since 3 + 5 + 0 + 5 + 2 + 8 + 12 + 0 + 579 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35052812057957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13372927 + ... + 15777857.

It is an arithmetic number, because the mean of its divisors is an integer number (396389910735).

Almost surely, 2^{35052812057952} is an apocalyptic number.

35052812057952 is a gapful number since it is divisible by the number (32) 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 35052812057952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57080147145840).

35052812057952 is an abundant number, since it is smaller than the sum of its proper divisors (79107482233728).

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

35052812057952 is a wasteful number, since it uses less digits than its factorization.

35052812057952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405206 (or 2405195 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 35052812057952 in words is "thirty-five trillion, fifty-two billion, eight hundred twelve million, fifty-seven thousand, nine hundred fifty-two".