29130192000 has 1920 divisors, whose sum is σ = 140935766400. Its totient is φ = 5822668800.

The previous prime is 29130191983. The next prime is 29130192011. The reversal of 29130192000 is 29103192.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1533167991 + ... + 1533168009.

It is an arithmetic number, because the mean of its divisors is an integer number (73404045).

Almost surely, 2^29130192000 is an apocalyptic number.

29130192000 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 29130192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70467883200).

29130192000 is an abundant number, since it is smaller than the sum of its proper divisors (111805574400).

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

29130192000 is a wasteful number, since it uses less digits than its factorization.

29130192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

Adding to 29130192000 its reverse (29103192), we get a palindrome (29159295192).

The spelling of 29130192000 in words is "twenty-nine billion, one hundred thirty million, one hundred ninety-two thousand".