235525225235300 has 432 divisors, whose sum is σ = 699111283264128. Its totient is φ = 67701508761600.

The previous prime is 235525225235281. The next prime is 235525225235309. The reversal of 235525225235300 is 3532522525532.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (235525225235309) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 768514697 + ... + 768821103.

It is an arithmetic number, because the mean of its divisors is an integer number (1618313155704).

Almost surely, 2^{235525225235300} is an apocalyptic number.

235525225235300 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 235525225235300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349555641632064).

235525225235300 is an abundant number, since it is smaller than the sum of its proper divisors (463586058028828).

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

235525225235300 is a wasteful number, since it uses less digits than its factorization.

235525225235300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307556 (or 307542 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 44.

The spelling of 235525225235300 in words is "two hundred thirty-five trillion, five hundred twenty-five billion, two hundred twenty-five million, two hundred thirty-five thousand, three hundred".