235225205600 has 432 divisors, whose sum is σ = 771614832240. Its totient is φ = 69002035200.

The previous prime is 235225205599. The next prime is 235225205603. The reversal of 235225205600 is 6502522532.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235225205603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7314356 + ... + 7346444.

It is an arithmetic number, because the mean of its divisors is an integer number (1786145445).

Almost surely, 2^235225205600 is an apocalyptic number.

235225205600 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 235225205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385807416120).

235225205600 is an abundant number, since it is smaller than the sum of its proper divisors (536389626640).

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

235225205600 is a wasteful number, since it uses less digits than its factorization.

235225205600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32151 (or 32131 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 235225205600 in words is "two hundred thirty-five billion, two hundred twenty-five million, two hundred five thousand, six hundred".