30129656256 has 504 divisors, whose sum is σ = 105091169040. Its totient is φ = 8218828800.

The previous prime is 30129656213. The next prime is 30129656267. The reversal of 30129656256 is 65265692103.

30129656256 is a `hidden beast` number, since 3 + 0 + 12 + 9 + 6 + 5 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×30129656256² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 107222836 + ... + 107223116.

Almost surely, 2^30129656256 is an apocalyptic number.

30129656256 is a gapful number since it is divisible by the number (36) 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 30129656256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52545584520).

30129656256 is an abundant number, since it is smaller than the sum of its proper divisors (74961512784).

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

30129656256 is a wasteful number, since it uses less digits than its factorization.

30129656256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 30129656256 in words is "thirty billion, one hundred twenty-nine million, six hundred fifty-six thousand, two hundred fifty-six".