235790882734680 has 2304 divisors, whose sum is σ = 1052082147916800. Its totient is φ = 46945535938560.

The previous prime is 235790882734651. The next prime is 235790882734681. The reversal of 235790882734680 is 86437288097532.

235790882734680 is a `hidden beast` number, since 2 + 3 + 5 + 7 + 90 + 8 + 8 + 2 + 73 + 468 + 0 = 666.

It is a super-2 number, since 2×235790882734680² (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 a junction number, because it is equal to n+sod(n) for n = 235790882734599 and 235790882734608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235790882734681) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 30939621270 + ... + 30939628890.

It is an arithmetic number, because the mean of its divisors is an integer number (456632876700).

Almost surely, 2^{235790882734680} is an apocalyptic number.

235790882734680 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 235790882734680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526041073958400).

235790882734680 is an abundant number, since it is smaller than the sum of its proper divisors (816291265182120).

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

235790882734680 is a wasteful number, since it uses less digits than its factorization.

235790882734680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7956 (or 7933 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 235790882734680 in words is "two hundred thirty-five trillion, seven hundred ninety billion, eight hundred eighty-two million, seven hundred thirty-four thousand, six hundred eighty".