230780005902000 has 960 divisors, whose sum is σ = 872359073838720. Its totient is φ = 58297494528000.

The previous prime is 230780005901959. The next prime is 230780005902133. The reversal of 230780005902000 is 209500087032.

It is a happy number.

It is a super-2 number, since 2×230780005902000² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2406894060 + ... + 2406989940.

It is an arithmetic number, because the mean of its divisors is an integer number (908707368582).

Almost surely, 2^{230780005902000} is an apocalyptic number.

230780005902000 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 230780005902000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436179536919360).

230780005902000 is an abundant number, since it is smaller than the sum of its proper divisors (641579067936720).

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

230780005902000 is a wasteful number, since it uses less digits than its factorization.

230780005902000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96024 (or 95973 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 230780005902000 its reverse (209500087032), we get a palindrome (230989505989032).

The spelling of 230780005902000 in words is "two hundred thirty trillion, seven hundred eighty billion, five million, nine hundred two thousand".