29680773120 has 144 divisors (see below), whose sum is σ = 102868545780. Its totient is φ = 7914848256.

The previous prime is 29680773119. The next prime is 29680773163. The reversal of 29680773120 is 2137708692.

It can be written as a sum of positive squares in 2 ways, for example, as 27806229504 + 1874543616 = 166752^2 + 43296^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68869 + ... + 253188.

Almost surely, 2^29680773120 is an apocalyptic number.

29680773120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29680773120 is an abundant number, since it is smaller than the sum of its proper divisors (73187772660).

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

29680773120 is a wasteful number, since it uses less digits than its factorization.

29680773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322090 (or 322067 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 29680773120 in words is "twenty-nine billion, six hundred eighty million, seven hundred seventy-three thousand, one hundred twenty".