29470554000 has 1120 divisors, whose sum is σ = 119880764640. Its totient is φ = 6967296000.

The previous prime is 29470553999. The next prime is 29470554007. The reversal of 29470554000 is 45507492.

It can be written as a sum of positive squares in 16 ways, for example, as 23885084304 + 5585469696 = 154548^2 + 74736^2 .

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

It is not an unprimeable number, because it can be changed into a prime (29470554007) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 718793980 + ... + 718794020.

It is an arithmetic number, because the mean of its divisors is an integer number (107036397).

Almost surely, 2^29470554000 is an apocalyptic number.

29470554000 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 29470554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59940382320).

29470554000 is an abundant number, since it is smaller than the sum of its proper divisors (90410210640).

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

29470554000 is a wasteful number, since it uses less digits than its factorization.

29470554000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 29470554000 in words is "twenty-nine billion, four hundred seventy million, five hundred fifty-four thousand".