235668052866960 has 800 divisors, whose sum is σ = 999370626186240. Its totient is φ = 50270196962304.

The previous prime is 235668052866959. The next prime is 235668052866973. The reversal of 235668052866960 is 69668250866532.

235668052866960 is a `hidden beast` number, since 2 + 3 + 5 + 6 + 6 + 8 + 0 + 528 + 6 + 6 + 96 + 0 = 666.

It is a super-2 number, since 2×235668052866960² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 55702627 + ... + 59783933.

Almost surely, 2^{235668052866960} is an apocalyptic number.

235668052866960 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 235668052866960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499685313093120).

235668052866960 is an abundant number, since it is smaller than the sum of its proper divisors (763702573319280).

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

235668052866960 is a wasteful number, since it uses less digits than its factorization.

235668052866960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4081425 (or 4081410 counting only the distinct ones).

The product of its (nonzero) digits is 1343692800, while the sum is 72.

The spelling of 235668052866960 in words is "two hundred thirty-five trillion, six hundred sixty-eight billion, fifty-two million, eight hundred sixty-six thousand, nine hundred sixty".