30505687020 has 240 divisors, whose sum is σ = 99583131648. Its totient is φ = 7808814720.

The previous prime is 30505687013. The next prime is 30505687031. The reversal of 30505687020 is 2078650503.

30505687020 is a `hidden beast` number, since 3 + 0 + 5 + 0 + 568 + 70 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6375549 + ... + 6380331.

Almost surely, 2^30505687020 is an apocalyptic number.

30505687020 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 30505687020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49791565824).

30505687020 is an abundant number, since it is smaller than the sum of its proper divisors (69077444628).

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

30505687020 is a wasteful number, since it uses less digits than its factorization.

30505687020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4962 (or 4951 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 30505687020 in words is "thirty billion, five hundred five million, six hundred eighty-seven thousand, twenty".