235207813680 has 120 divisors (see below), whose sum is σ = 902750008992. Its totient is φ = 53761784832.

The previous prime is 235207813679. The next prime is 235207813691. The reversal of 235207813680 is 86318702532.

235207813680 is a `hidden beast` number, since 2 + 3 + 5 + 207 + 81 + 368 + 0 = 666.

235207813680 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×235207813680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23329069 + ... + 23339148.

Almost surely, 2^235207813680 is an apocalyptic number.

235207813680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235207813680 is an abundant number, since it is smaller than the sum of its proper divisors (667542195312).

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

235207813680 is a wasteful number, since it uses less digits than its factorization.

235207813680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46668243 (or 46668234 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 235207813680 in words is "two hundred thirty-five billion, two hundred seven million, eight hundred thirteen thousand, six hundred eighty".