20727851040 has 288 divisors, whose sum is σ = 76370164416. Its totient is φ = 5089167360.

The previous prime is 20727851033. The next prime is 20727851041. The reversal of 20727851040 is 4015872702.

20727851040 is a `hidden beast` number, since 2 + 0 + 72 + 78 + 510 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 20727850986 and 20727851004.

It is not an unprimeable number, because it can be changed into a prime (20727851041) 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, 8741055 + ... + 8743425.

It is an arithmetic number, because the mean of its divisors is an integer number (265174182).

Almost surely, 2^20727851040 is an apocalyptic number.

20727851040 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 20727851040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38185082208).

20727851040 is an abundant number, since it is smaller than the sum of its proper divisors (55642313376).

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

20727851040 is a wasteful number, since it uses less digits than its factorization.

20727851040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 20727851040 in words is "twenty billion, seven hundred twenty-seven million, eight hundred fifty-one thousand, forty".