30306068721600 has 1008 divisors, whose sum is σ = 125072607555072. Its totient is φ = 6380869877760.

The previous prime is 30306068721587. The next prime is 30306068721619. The reversal of 30306068721600 is 612786060303.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 187844167 + ... + 188005433.

Almost surely, 2^{30306068721600} is an apocalyptic number.

30306068721600 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 30306068721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62536303777536).

30306068721600 is an abundant number, since it is smaller than the sum of its proper divisors (94766538833472).

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

30306068721600 is a wasteful number, since it uses less digits than its factorization.

30306068721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161370 (or 161348 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 30306068721600 in words is "thirty trillion, three hundred six billion, sixty-eight million, seven hundred twenty-one thousand, six hundred".