235135664679680 has 288 divisors, whose sum is σ = 615700992614400. Its totient is φ = 85650876334080.

The previous prime is 235135664679677. The next prime is 235135664679701. The reversal of 235135664679680 is 86976466531532.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4213948421 + ... + 4214004219.

It is an arithmetic number, because the mean of its divisors is an integer number (2137850668800).

It is a 1-persistent number, because it is pandigital, but 2⋅235135664679680 = 470271329359360 is not.

Almost surely, 2^{235135664679680} is an apocalyptic number.

235135664679680 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 235135664679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307850496307200).

235135664679680 is an abundant number, since it is smaller than the sum of its proper divisors (380565327934720).

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

235135664679680 is a wasteful number, since it uses less digits than its factorization.

235135664679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62115 (or 62101 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 71.

The spelling of 235135664679680 in words is "two hundred thirty-five trillion, one hundred thirty-five billion, six hundred sixty-four million, six hundred seventy-nine thousand, six hundred eighty".