20745514800 has 720 divisors, whose sum is σ = 82777157280. Its totient is φ = 4916920320.

The previous prime is 20745514789. The next prime is 20745514813. The reversal of 20745514800 is 841554702.

20745514800 is a `hidden beast` number, since 20 + 7 + 4 + 551 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 66279444 + ... + 66279756.

It is an arithmetic number, because the mean of its divisors is an integer number (114968274).

Almost surely, 2^20745514800 is an apocalyptic number.

20745514800 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 20745514800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41388578640).

20745514800 is an abundant number, since it is smaller than the sum of its proper divisors (62031642480).

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

20745514800 is a wasteful number, since it uses less digits than its factorization.

20745514800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 20745514800 in words is "twenty billion, seven hundred forty-five million, five hundred fourteen thousand, eight hundred".