230036526720 has 2880 divisors, whose sum is σ = 1153505041920. Its totient is φ = 42699571200.

The previous prime is 230036526641. The next prime is 230036526779. The reversal of 230036526720 is 27625630032.

It is a happy number.

230036526720 is a `hidden beast` number, since 2 + 30 + 0 + 36 + 526 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×230036526720³ (a number of 35 digits) contains 333 as substring.

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 359 ways as a sum of consecutive naturals, for example, 7420533105 + ... + 7420533135.

It is an arithmetic number, because the mean of its divisors is an integer number (400522584).

Almost surely, 2^230036526720 is an apocalyptic number.

230036526720 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 230036526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576752520960).

230036526720 is an abundant number, since it is smaller than the sum of its proper divisors (923468515200).

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

230036526720 is a wasteful number, since it uses less digits than its factorization.

230036526720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 230036526720 in words is "two hundred thirty billion, thirty-six million, five hundred twenty-six thousand, seven hundred twenty".