29896398000 has 640 divisors, whose sum is σ = 123492096000. Its totient is φ = 6772377600.

The previous prime is 29896397983. The next prime is 29896398011. The reversal of 29896398000 is 89369892.

It is a super-2 number, since 2×29896398000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52541716 + ... + 52542284.

It is an arithmetic number, because the mean of its divisors is an integer number (192956400).

Almost surely, 2^29896398000 is an apocalyptic number.

29896398000 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 29896398000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61746048000).

29896398000 is an abundant number, since it is smaller than the sum of its proper divisors (93595698000).

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

29896398000 is a wasteful number, since it uses less digits than its factorization.

29896398000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 29896398000 in words is "twenty-nine billion, eight hundred ninety-six million, three hundred ninety-eight thousand".