29031912000 has 1344 divisors, whose sum is σ = 134068596480. Its totient is φ = 6096384000.

The previous prime is 29031911971. The next prime is 29031912017. The reversal of 29031912000 is 21913092.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137591895 + ... + 137592105.

It is an arithmetic number, because the mean of its divisors is an integer number (99753420).

Almost surely, 2^29031912000 is an apocalyptic number.

29031912000 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 29031912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67034298240).

29031912000 is an abundant number, since it is smaller than the sum of its proper divisors (105036684480).

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

29031912000 is a wasteful number, since it uses less digits than its factorization.

29031912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 241 counting only the distinct ones).

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

The spelling of 29031912000 in words is "twenty-nine billion, thirty-one million, nine hundred twelve thousand".