29027090400 has 864 divisors, whose sum is σ = 126318165120. Its totient is φ = 5709312000.

The previous prime is 29027090399. The next prime is 29027090459. The reversal of 29027090400 is 409072092.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24577810 + ... + 24578990.

It is an arithmetic number, because the mean of its divisors is an integer number (146201580).

Almost surely, 2^29027090400 is an apocalyptic number.

29027090400 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 29027090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63159082560).

29027090400 is an abundant number, since it is smaller than the sum of its proper divisors (97291074720).

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

29027090400 is a wasteful number, since it uses less digits than its factorization.

29027090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 29027090400 in words is "twenty-nine billion, twenty-seven million, ninety thousand, four hundred".