20029464000 has 896 divisors, whose sum is σ = 90532915200. Its totient is φ = 4221849600.

The previous prime is 20029463999. The next prime is 20029464011. The reversal of 20029464000 is 46492002.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19655491 + ... + 19656509.

It is an arithmetic number, because the mean of its divisors is an integer number (101041200).

Almost surely, 2^20029464000 is an apocalyptic number.

20029464000 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 20029464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45266457600).

20029464000 is an abundant number, since it is smaller than the sum of its proper divisors (70503451200).

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

20029464000 is a wasteful number, since it uses less digits than its factorization.

20029464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 20029464000 in words is "twenty billion, twenty-nine million, four hundred sixty-four thousand".