29078870400 has 480 divisors, whose sum is σ = 109845034200. Its totient is φ = 7571128320.

The previous prime is 29078870383. The next prime is 29078870407. The reversal of 29078870400 is 407887092.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29078870407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11144296 + ... + 11146904.

Almost surely, 2^29078870400 is an apocalyptic number.

29078870400 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 29078870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54922517100).

29078870400 is an abundant number, since it is smaller than the sum of its proper divisors (80766163800).

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

29078870400 is a wasteful number, since it uses less digits than its factorization.

29078870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 29078870400 in words is "twenty-nine billion, seventy-eight million, eight hundred seventy thousand, four hundred".