20051506800 has 960 divisors, whose sum is σ = 84314603520. Its totient is φ = 4478976000.

The previous prime is 20051506771. The next prime is 20051506841. The reversal of 20051506800 is 860515002.

It is a super-3 number, since 3×20051506800³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 73990665 + ... + 73990935.

It is an arithmetic number, because the mean of its divisors is an integer number (87827712).

Almost surely, 2^20051506800 is an apocalyptic number.

20051506800 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 20051506800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42157301760).

20051506800 is an abundant number, since it is smaller than the sum of its proper divisors (64263096720).

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

20051506800 is a wasteful number, since it uses less digits than its factorization.

20051506800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

It can be divided in two parts, 20051 and 506800, that added together give a triangular number (526851 = T₁₀₂₆).

The spelling of 20051506800 in words is "twenty billion, fifty-one million, five hundred six thousand, eight hundred".