30793205952 has 168 divisors, whose sum is σ = 96678597600. Its totient is φ = 9327403008.

The previous prime is 30793205941. The next prime is 30793205983. The reversal of 30793205952 is 25950239703.

30793205952 is a `hidden beast` number, since 30 + 7 + 9 + 3 + 20 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30793205898 and 30793205907.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229749 + ... + 338187.

Almost surely, 2^30793205952 is an apocalyptic number.

30793205952 is a gapful number since it is divisible by the number (32) 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 30793205952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48339298800).

30793205952 is an abundant number, since it is smaller than the sum of its proper divisors (65885391648).

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

30793205952 is a wasteful number, since it uses less digits than its factorization.

30793205952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108503 (or 108490 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 30793205952 in words is "thirty billion, seven hundred ninety-three million, two hundred five thousand, nine hundred fifty-two".