235675752061000 has 128 divisors (see below), whose sum is σ = 584754346856160. Its totient is φ = 88598415360000.

The previous prime is 235675752060989. The next prime is 235675752061049. The reversal of 235675752061000 is 160257576532.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 8242629516004 + 227433122544996 = 2870998^2 + 15080886^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2028784 + ... + 21805216.

Almost surely, 2^{235675752061000} is an apocalyptic number.

235675752061000 is a gapful number since it is divisible by the number (20) 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 235675752061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292377173428080).

235675752061000 is an abundant number, since it is smaller than the sum of its proper divisors (349078594795160).

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

235675752061000 is a wasteful number, since it uses less digits than its factorization.

235675752061000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19777172 (or 19777158 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 49.

The spelling of 235675752061000 in words is "two hundred thirty-five trillion, six hundred seventy-five billion, seven hundred fifty-two million, sixty-one thousand".