30766927153152 has 96 divisors (see below), whose sum is σ = 82088371965600. Its totient is φ = 10247732527104.

The previous prime is 30766927153103. The next prime is 30766927153199. The reversal of 30766927153152 is 25135172966703.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 30766927153092 and 30766927153101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6038299 + ... + 9899237.

It is an arithmetic number, because the mean of its divisors is an integer number (855087207975).

Almost surely, 2^{30766927153152} is an apocalyptic number.

30766927153152 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 30766927153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41044185982800).

30766927153152 is an abundant number, since it is smaller than the sum of its proper divisors (51321444812448).

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

30766927153152 is a wasteful number, since it uses less digits than its factorization.

30766927153152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862261 (or 3862241 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 57.

The spelling of 30766927153152 in words is "thirty trillion, seven hundred sixty-six billion, nine hundred twenty-seven million, one hundred fifty-three thousand, one hundred fifty-two".