29997928979280 has 80 divisors (see below), whose sum is σ = 103326199824960. Its totient is φ = 7999447727232.

The previous prime is 29997928979273. The next prime is 29997928979287. The reversal of 29997928979280 is 8297982979992.

29997928979280 is a `hidden beast` number, since 2 + 99 + 97 + 92 + 8 + 9 + 79 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (29997928979273) and next prime (29997928979287).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29997928979287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6943962882 + ... + 6943967201.

It is an arithmetic number, because the mean of its divisors is an integer number (1291577497812).

Almost surely, 2^{29997928979280} is an apocalyptic number.

29997928979280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29997928979280 is an abundant number, since it is smaller than the sum of its proper divisors (73328270845680).

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

29997928979280 is a wasteful number, since it uses less digits than its factorization.

29997928979280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13887930105 (or 13887930093 counting only the distinct ones).

The product of its (nonzero) digits is 13332791808, while the sum is 90.

The spelling of 29997928979280 in words is "twenty-nine trillion, nine hundred ninety-seven billion, nine hundred twenty-eight million, nine hundred seventy-nine thousand, two hundred eighty".