235609560000 has 350 divisors, whose sum is σ = 872758315440. Its totient is φ = 62828352000.

The previous prime is 235609559981. The next prime is 235609560029. The reversal of 235609560000 is 65906532.

235609560000 is a `hidden beast` number, since 2 + 3 + 560 + 95 + 6 + 0 + 0 + 0 + 0 = 666.

It is a super-4 number, since 4×235609560000⁴ (a number of 47 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 3203641 + ... + 3276359.

Almost surely, 2^235609560000 is an apocalyptic number.

235609560000 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 235609560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436379157720).

235609560000 is an abundant number, since it is smaller than the sum of its proper divisors (637148755440).

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

235609560000 is an frugal number, since it uses more digits than its factorization.

235609560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72763 (or 72729 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 235609560000 in words is "two hundred thirty-five billion, six hundred nine million, five hundred sixty thousand".