229509526680 has 256 divisors, whose sum is σ = 874998374400. Its totient is φ = 52418741760.

The previous prime is 229509526663. The next prime is 229509526709. The reversal of 229509526680 is 86625905922.

229509526680 is a `hidden beast` number, since 2 + 2 + 9 + 50 + 9 + 526 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10368825 + ... + 10390935.

It is an arithmetic number, because the mean of its divisors is an integer number (3417962400).

Almost surely, 2^229509526680 is an apocalyptic number.

229509526680 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 229509526680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437499187200).

229509526680 is an abundant number, since it is smaller than the sum of its proper divisors (645488847720).

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

229509526680 is a wasteful number, since it uses less digits than its factorization.

229509526680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23511 (or 23501 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 229509526680 in words is "two hundred twenty-nine billion, five hundred nine million, five hundred twenty-six thousand, six hundred eighty".