20049072000 has 256 divisors, whose sum is σ = 67884410880. Its totient is φ = 5232076800.

The previous prime is 20049071989. The next prime is 20049072083. The reversal of 20049072000 is 27094002.

It is a super-2 number, since 2×20049072000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2251557 + ... + 2260443.

It is an arithmetic number, because the mean of its divisors is an integer number (265173480).

Almost surely, 2^20049072000 is an apocalyptic number.

20049072000 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 20049072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33942205440).

20049072000 is an abundant number, since it is smaller than the sum of its proper divisors (47835338880).

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

20049072000 is an equidigital number, since it uses as much as digits as its factorization.

20049072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8966 (or 8944 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 20049072000 in words is "twenty billion, forty-nine million, seventy-two thousand".