29678052983040 has 3456 divisors, whose sum is σ = 139221511962624. Its totient is φ = 5873430528000.

The previous prime is 29678052982987. The next prime is 29678052983053. The reversal of 29678052983040 is 4038925087692.

29678052983040 is a `hidden beast` number, since 2 + 9 + 6 + 78 + 0 + 529 + 8 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

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 383 ways as a sum of consecutive naturals, for example, 52714125799 + ... + 52714126361.

It is an arithmetic number, because the mean of its divisors is an integer number (40284002304).

Almost surely, 2^{29678052983040} is an apocalyptic number.

29678052983040 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 29678052983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69610755981312).

29678052983040 is an abundant number, since it is smaller than the sum of its proper divisors (109543458979584).

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

29678052983040 is a wasteful number, since it uses less digits than its factorization.

29678052983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 29678052983040 in words is "twenty-nine trillion, six hundred seventy-eight billion, fifty-two million, nine hundred eighty-three thousand, forty".