29974855680000 has 2640 divisors, whose sum is σ = 139415947366080. Its totient is φ = 6228541440000.

The previous prime is 29974855679971. The next prime is 29974855680013. The reversal of 29974855680000 is 8655847992.

29974855680000 is a `hidden beast` number, since 2 + 9 + 9 + 74 + 8 + 556 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 29974855680000.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2724986879995 + ... + 2724986880005.

It is an arithmetic number, because the mean of its divisors is an integer number (52809070972).

Almost surely, 2^{29974855680000} is an apocalyptic number.

29974855680000 is a gapful number since it is divisible by the number (20) 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 29974855680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69707973683040).

29974855680000 is an abundant number, since it is smaller than the sum of its proper divisors (109441091686080).

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

29974855680000 is an frugal number, since it uses more digits than its factorization.

29974855680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 29974855680000 in words is "twenty-nine trillion, nine hundred seventy-four billion, eight hundred fifty-five million, six hundred eighty thousand".