20512024000 has 224 divisors, whose sum is σ = 55171823616. Its totient is φ = 7509196800.

The previous prime is 20512023989. The next prime is 20512024031. The reversal of 20512024000 is 42021502.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13207224 + ... + 13208776.

It is an arithmetic number, because the mean of its divisors is an integer number (246302784).

Almost surely, 2^20512024000 is an apocalyptic number.

20512024000 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 20512024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27585911808).

20512024000 is an abundant number, since it is smaller than the sum of its proper divisors (34659799616).

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

20512024000 is a wasteful number, since it uses less digits than its factorization.

20512024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 20512024000 its reverse (42021502), we get a palindrome (20554045502).

The spelling of 20512024000 in words is "twenty billion, five hundred twelve million, twenty-four thousand".