30666915130176 has 1176 divisors, whose sum is σ = 106380278464824. Its totient is φ = 8710712524800.

The previous prime is 30666915130151. The next prime is 30666915130207. The reversal of 30666915130176 is 67103151966603.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3311672040000 + 27355243090176 = 1819800^2 + 5230224^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 9290187726 + ... + 9290191026.

Almost surely, 2^{30666915130176} is an apocalyptic number.

30666915130176 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 30666915130176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53190139232412).

30666915130176 is an abundant number, since it is smaller than the sum of its proper divisors (75713363334648).

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

30666915130176 is a wasteful number, since it uses less digits than its factorization.

30666915130176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 30666915130176 in words is "thirty trillion, six hundred sixty-six billion, nine hundred fifteen million, one hundred thirty thousand, one hundred seventy-six".