29986485984 has 384 divisors, whose sum is σ = 108662400000. Its totient is φ = 7833729024.

The previous prime is 29986485967. The next prime is 29986486009. The reversal of 29986485984 is 48958468992.

29986485984 is a `hidden beast` number, since 29 + 9 + 8 + 6 + 4 + 8 + 598 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8568267 + ... + 8571765.

It is an arithmetic number, because the mean of its divisors is an integer number (282975000).

Almost surely, 2^29986485984 is an apocalyptic number.

29986485984 is a gapful number since it is divisible by the number (24) 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 29986485984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54331200000).

29986485984 is an abundant number, since it is smaller than the sum of its proper divisors (78675914016).

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

29986485984 is a wasteful number, since it uses less digits than its factorization.

29986485984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647 (or 3633 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 29986485984 in words is "twenty-nine billion, nine hundred eighty-six million, four hundred eighty-five thousand, nine hundred eighty-four".