30405606000 has 960 divisors, whose sum is σ = 127773155328. Its totient is φ = 6082560000.

The previous prime is 30405605983. The next prime is 30405606029. The reversal of 30405606000 is 60650403.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 157541904 + ... + 157542096.

Almost surely, 2^30405606000 is an apocalyptic number.

30405606000 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 30405606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63886577664).

30405606000 is an abundant number, since it is smaller than the sum of its proper divisors (97367549328).

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

30405606000 is a wasteful number, since it uses less digits than its factorization.

30405606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The spelling of 30405606000 in words is "thirty billion, four hundred five million, six hundred six thousand".