30729979881216 has 2304 divisors, whose sum is σ = 122669826048000. Its totient is φ = 7352866160640.

The previous prime is 30729979881149. The next prime is 30729979881217. The reversal of 30729979881216 is 61218897992703.

30729979881216 is a `hidden beast` number, since 30 + 7 + 299 + 7 + 98 + 8 + 1 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30729979881217) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 41583192975 + ... + 41583193713.

It is an arithmetic number, because the mean of its divisors is an integer number (53242112000).

Almost surely, 2^{30729979881216} is an apocalyptic number.

30729979881216 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 30729979881216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61334913024000).

30729979881216 is an abundant number, since it is smaller than the sum of its proper divisors (91939846166784).

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

30729979881216 is a wasteful number, since it uses less digits than its factorization.

30729979881216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 30729979881216 in words is "thirty trillion, seven hundred twenty-nine billion, nine hundred seventy-nine million, eight hundred eighty-one thousand, two hundred sixteen".