20290452000 has 768 divisors, whose sum is σ = 86702773248. Its totient is φ = 4025548800.

The previous prime is 20290451999. The next prime is 20290452043. The reversal of 20290452000 is 25409202.

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

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, 18563454 + ... + 18564546.

It is an arithmetic number, because the mean of its divisors is an integer number (112894236).

Almost surely, 2^20290452000 is an apocalyptic number.

20290452000 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 20290452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43351386624).

20290452000 is an abundant number, since it is smaller than the sum of its proper divisors (66412321248).

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

20290452000 is a wasteful number, since it uses less digits than its factorization.

20290452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 20290452000 in words is "twenty billion, two hundred ninety million, four hundred fifty-two thousand".