30164236677120 has 1248 divisors, whose sum is σ = 128022387530688. Its totient is φ = 5989818433536.

The previous prime is 30164236677097. The next prime is 30164236677139. The reversal of 30164236677120 is 2177663246103.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×30164236677120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 30164236677120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 665311092 + ... + 665356428.

Almost surely, 2^{30164236677120} is an apocalyptic number.

30164236677120 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 30164236677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64011193765344).

30164236677120 is an abundant number, since it is smaller than the sum of its proper divisors (97858150853568).

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

30164236677120 is a wasteful number, since it uses less digits than its factorization.

30164236677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45413 (or 45384 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 30164236677120 in words is "thirty trillion, one hundred sixty-four billion, two hundred thirty-six million, six hundred seventy-seven thousand, one hundred twenty".