30771438100992 has 960 divisors, whose sum is σ = 102352178728800. Its totient is φ = 8846793768960.

The previous prime is 30771438100973. The next prime is 30771438100993. The reversal of 30771438100992 is 29900183417703.

30771438100992 is a `hidden beast` number, since 30 + 7 + 71 + 438 + 100 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1248993997056 + 29522444103936 = 1117584^2 + 5433456^2 .

It is not an unprimeable number, because it can be changed into a prime (30771438100993) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3446231184 + ... + 3446240112.

Almost surely, 2^{30771438100992} is an apocalyptic number.

30771438100992 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 30771438100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51176089364400).

30771438100992 is an abundant number, since it is smaller than the sum of its proper divisors (71580740627808).

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

30771438100992 is a wasteful number, since it uses less digits than its factorization.

30771438100992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9077 (or 9058 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 30771438100992 in words is "thirty trillion, seven hundred seventy-one billion, four hundred thirty-eight million, one hundred thousand, nine hundred ninety-two".