30425706000 has 400 divisors, whose sum is σ = 110447024688. Its totient is φ = 8073216000.

The previous prime is 30425705927. The next prime is 30425706007. The reversal of 30425706000 is 60752403.

It is a happy number.

30425706000 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 57 + 0 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 279023616 + 30146682384 = 16704^2 + 173628^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30425706007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47465680 + ... + 47466320.

Almost surely, 2^30425706000 is an apocalyptic number.

30425706000 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 30425706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55223512344).

30425706000 is an abundant number, since it is smaller than the sum of its proper divisors (80021318688).

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

30425706000 is a wasteful number, since it uses less digits than its factorization.

30425706000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 30425706000 in words is "thirty billion, four hundred twenty-five million, seven hundred six thousand".