20745948000 has 288 divisors, whose sum is σ = 71744006880. Its totient is φ = 5239987200.

The previous prime is 20745947987. The next prime is 20745948007. The reversal of 20745948000 is 84954702.

It is a self number, because there is not a number n which added to its sum of digits gives 20745948000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20745948007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4329606 + ... + 4334394.

It is an arithmetic number, because the mean of its divisors is an integer number (249111135).

Almost surely, 2^20745948000 is an apocalyptic number.

20745948000 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 20745948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35872003440).

20745948000 is an abundant number, since it is smaller than the sum of its proper divisors (50998058880).

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

20745948000 is a wasteful number, since it uses less digits than its factorization.

20745948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4855 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 20745948000 in words is "twenty billion, seven hundred forty-five million, nine hundred forty-eight thousand".