230211090869760 has 7680 divisors, whose sum is σ = 1162302823858176. Its totient is φ = 42138206208000.

The previous prime is 230211090869687. The next prime is 230211090869789. The reversal of 230211090869760 is 67968090112032.

230211090869760 is a `hidden beast` number, since 2 + 302 + 110 + 9 + 0 + 86 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

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

It is a junction number, because it is equal to n+sod(n) for n = 230211090869697 and 230211090869706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1812685754817 + ... + 1812685754943.

Almost surely, 2^{230211090869760} is an apocalyptic number.

230211090869760 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 230211090869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581151411929088).

230211090869760 is an abundant number, since it is smaller than the sum of its proper divisors (932091732988416).

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

230211090869760 is a wasteful number, since it uses less digits than its factorization.

230211090869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 230211090869760 in words is "two hundred thirty trillion, two hundred eleven billion, ninety million, eight hundred sixty-nine thousand, seven hundred sixty".