30986873438976 has 1944 divisors, whose sum is σ = 118321627840416. Its totient is φ = 7758037647360.

The previous prime is 30986873438891. The next prime is 30986873438987. The reversal of 30986873438976 is 67983437868903.

30986873438976 is a `hidden beast` number, since 3 + 0 + 98 + 6 + 8 + 7 + 3 + 438 + 97 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30986873438895 and 30986873438904.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 105757247086 + ... + 105757247378.

Almost surely, 2^{30986873438976} is an apocalyptic number.

30986873438976 is a gapful number since it is divisible by the number (36) 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 30986873438976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59160813920208).

30986873438976 is an abundant number, since it is smaller than the sum of its proper divisors (87334754401440).

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

30986873438976 is a wasteful number, since it uses less digits than its factorization.

30986873438976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 7900913664, while the sum is 81.

The spelling of 30986873438976 in words is "thirty trillion, nine hundred eighty-six billion, eight hundred seventy-three million, four hundred thirty-eight thousand, nine hundred seventy-six".