30638480582052 has 480 divisors, whose sum is σ = 97710535802880. Its totient is φ = 8187509341440.

The previous prime is 30638480582011. The next prime is 30638480582057. The reversal of 30638480582052 is 25028508483603.

It is a happy number.

30638480582052 is a `hidden beast` number, since 3 + 0 + 6 + 3 + 8 + 4 + 8 + 0 + 582 + 0 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 30638480582052.

It is not an unprimeable number, because it can be changed into a prime (30638480582057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 249602349 + ... + 249725067.

It is an arithmetic number, because the mean of its divisors is an integer number (203563616256).

Almost surely, 2^{30638480582052} 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 30638480582052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48855267901440).

30638480582052 is an abundant number, since it is smaller than the sum of its proper divisors (67072055220828).

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

30638480582052 is a wasteful number, since it uses less digits than its factorization.

30638480582052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122893 (or 122882 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 30638480582052 in words is "thirty trillion, six hundred thirty-eight billion, four hundred eighty million, five hundred eighty-two thousand, fifty-two".