29851074000 has 480 divisors, whose sum is σ = 114882468480. Its totient is φ = 7163904000.

The previous prime is 29851073977. The next prime is 29851074031. The reversal of 29851074000 is 47015892.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21185296 + ... + 21186704.

It is an arithmetic number, because the mean of its divisors is an integer number (239338476).

Almost surely, 2^29851074000 is an apocalyptic number.

29851074000 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 29851074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57441234240).

29851074000 is an abundant number, since it is smaller than the sum of its proper divisors (85031394480).

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

29851074000 is a wasteful number, since it uses less digits than its factorization.

29851074000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 29851074000 its reverse (47015892), we get a palindrome (29898089892).

The spelling of 29851074000 in words is "twenty-nine billion, eight hundred fifty-one million, seventy-four thousand".