30185026256 has 200 divisors, whose sum is σ = 75713853408. Its totient is φ = 11557728000.

The previous prime is 30185026253. The next prime is 30185026279. The reversal of 30185026256 is 65262058103.

It is a super-2 number, since 2×30185026256² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30185026253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25776551 + ... + 25777721.

Almost surely, 2^30185026256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30185026256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37856926704).

30185026256 is an abundant number, since it is smaller than the sum of its proper divisors (45528827152).

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

30185026256 is a wasteful number, since it uses less digits than its factorization.

30185026256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 30185026256 in words is "thirty billion, one hundred eighty-five million, twenty-six thousand, two hundred fifty-six".