30601585920 has 288 divisors, whose sum is σ = 99241857792. Its totient is φ = 8035762176.

The previous prime is 30601585909. The next prime is 30601585969. The reversal of 30601585920 is 2958510603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116355709 + ... + 116355971.

It is an arithmetic number, because the mean of its divisors is an integer number (344589784).

Almost surely, 2^30601585920 is an apocalyptic number.

30601585920 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 30601585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49620928896).

30601585920 is an abundant number, since it is smaller than the sum of its proper divisors (68640271872).

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

30601585920 is a wasteful number, since it uses less digits than its factorization.

30601585920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 30601585920 in words is "thirty billion, six hundred one million, five hundred eighty-five thousand, nine hundred twenty".