30256125451200 has 504 divisors, whose sum is σ = 117456592046976. Its totient is φ = 7325874432000.

The previous prime is 30256125451151. The next prime is 30256125451291. The reversal of 30256125451200 is 215452165203.

30256125451200 is a `hidden beast` number, since 3 + 0 + 2 + 561 + 25 + 4 + 51 + 20 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 130247155 + ... + 130479245.

It is an arithmetic number, because the mean of its divisors is an integer number (233048793744).

Almost surely, 2^{30256125451200} is an apocalyptic number.

30256125451200 is a gapful number since it is divisible by the number (30) 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 30256125451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58728296023488).

30256125451200 is an abundant number, since it is smaller than the sum of its proper divisors (87200466595776).

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

30256125451200 is a wasteful number, since it uses less digits than its factorization.

30256125451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232953 (or 232935 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 30256125451200 in words is "thirty trillion, two hundred fifty-six billion, one hundred twenty-five million, four hundred fifty-one thousand, two hundred".