29730486240000 has 2520 divisors, whose sum is σ = 136892057044512. Its totient is φ = 6270566400000.

The previous prime is 29730486239959. The next prime is 29730486240047. The reversal of 29730486240000 is 4268403792.

29730486240000 is a `hidden beast` number, since 29 + 7 + 304 + 86 + 240 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 10614238600 + ... + 10614241400.

Almost surely, 2^{29730486240000} is an apocalyptic number.

29730486240000 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 29730486240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68446028522256).

29730486240000 is an abundant number, since it is smaller than the sum of its proper divisors (107161570804512).

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

29730486240000 is an frugal number, since it uses more digits than its factorization.

29730486240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 29730486240000 in words is "twenty-nine trillion, seven hundred thirty billion, four hundred eighty-six million, two hundred forty thousand".