29612992000 has 160 divisors (see below), whose sum is σ = 74789320320. Its totient is φ = 11693260800.

The previous prime is 29612991997. The next prime is 29612992001. The reversal of 29612992000 is 29921692.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29612992001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5053072 + ... + 5058928.

It is an arithmetic number, because the mean of its divisors is an integer number (467433252).

Almost surely, 2^29612992000 is an apocalyptic number.

29612992000 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 29612992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37394660160).

29612992000 is an abundant number, since it is smaller than the sum of its proper divisors (45176328320).

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

29612992000 is an frugal number, since it uses more digits than its factorization.

29612992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5969 (or 5943 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

It can be divided in two parts, 296129 and 92000, that added together give a square (388129 = 623²).

The spelling of 29612992000 in words is "twenty-nine billion, six hundred twelve million, nine hundred ninety-two thousand".