29995232960880 has 240 divisors, whose sum is σ = 110799825009120. Its totient is φ = 7271571394560.

The previous prime is 29995232960873. The next prime is 29995232960971. The reversal of 29995232960880 is 8806923259992.

29995232960880 is a `hidden beast` number, since 2 + 9 + 9 + 9 + 5 + 2 + 3 + 2 + 9 + 608 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×29995232960880² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 29995232960799 and 29995232960808.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 14691585 + ... + 16608224.

It is an arithmetic number, because the mean of its divisors is an integer number (461665937538).

Almost surely, 2^{29995232960880} is an apocalyptic number.

29995232960880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29995232960880 is an abundant number, since it is smaller than the sum of its proper divisors (80804592048240).

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

29995232960880 is a wasteful number, since it uses less digits than its factorization.

29995232960880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31299861 (or 31299830 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 29995232960880 in words is "twenty-nine trillion, nine hundred ninety-five billion, two hundred thirty-two million, nine hundred sixty thousand, eight hundred eighty".